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Finding the Fourth Proportional to 13,002.52, 17,943.43 and 7,034.18

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Solution

The fourth proportional to 13,002.52, 17,943.43 and 7,034.18 is: 9,707.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.52 : 17,943.43 = 7,034.18 : x
  2. Step 2: Convert to fraction form
    13,002.52/17,943.43 = 7,034.18/x
  3. Step 3: Cross multiply
    13,002.52x = 17,943.43 × 7,034.18
  4. Step 4: Simplify right side
    13,002.52x = 126,217,316.44
  5. Step 5: Solve for x
    x = 126,217,316.44/13,002.52
  6. Step 6: Final answer
    x = 9,707.14

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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.