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Finding the Fourth Proportional to 12,814.74, 17,683.38 and 8,347.05

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Solution

The fourth proportional to 12,814.74, 17,683.38 and 8,347.05 is: 11,518.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.74 : 17,683.38 = 8,347.05 : x
  2. Step 2: Convert to fraction form
    12,814.74/17,683.38 = 8,347.05/x
  3. Step 3: Cross multiply
    12,814.74x = 17,683.38 × 8,347.05
  4. Step 4: Simplify right side
    12,814.74x = 147,604,057.03
  5. Step 5: Solve for x
    x = 147,604,057.03/12,814.74
  6. Step 6: Final answer
    x = 11,518.30

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Half scale
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Double scale
Find fourth proportional to 12,815.74, 17,684.76 and 8,348.05
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.