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Finding the Fourth Proportional to 9,416.63, 12,995.09 and 5,167.62

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Solution

The fourth proportional to 9,416.63, 12,995.09 and 5,167.62 is: 7,131.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.63 : 12,995.09 = 5,167.62 : x
  2. Step 2: Convert to fraction form
    9,416.63/12,995.09 = 5,167.62/x
  3. Step 3: Cross multiply
    9,416.63x = 12,995.09 × 5,167.62
  4. Step 4: Simplify right side
    9,416.63x = 67,153,686.99
  5. Step 5: Solve for x
    x = 67,153,686.99/9,416.63
  6. Step 6: Final answer
    x = 7,131.39

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Half scale
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Double scale
Find fourth proportional to 9,417.63, 12,996.47 and 5,168.62
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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.