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Finding the Fourth Proportional to 13,006.17, 17,948.49 and 7,037.79

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Solution

The fourth proportional to 13,006.17, 17,948.49 and 7,037.79 is: 9,712.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.17 : 17,948.49 = 7,037.79 : x
  2. Step 2: Convert to fraction form
    13,006.17/17,948.49 = 7,037.79/x
  3. Step 3: Cross multiply
    13,006.17x = 17,948.49 × 7,037.79
  4. Step 4: Simplify right side
    13,006.17x = 126,317,609.74
  5. Step 5: Solve for x
    x = 126,317,609.74/13,006.17
  6. Step 6: Final answer
    x = 9,712.13

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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.