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Finding the Fourth Proportional to 6,706.74, 9,259.23 and 4,471.74

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Solution

The fourth proportional to 6,706.74, 9,259.23 and 4,471.74 is: 6,173.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.74 : 9,259.23 = 4,471.74 : x
  2. Step 2: Convert to fraction form
    6,706.74/9,259.23 = 4,471.74/x
  3. Step 3: Cross multiply
    6,706.74x = 9,259.23 × 4,471.74
  4. Step 4: Simplify right side
    6,706.74x = 41,404,869.16
  5. Step 5: Solve for x
    x = 41,404,869.16/6,706.74
  6. Step 6: Final answer
    x = 6,173.62

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Half scale
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Double scale
Find fourth proportional to 6,707.74, 9,260.61 and 4,472.74
Similar ratio
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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.