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Finding the Fourth Proportional to 13,031.31, 17,983.17 and 7,063.11

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Solution

The fourth proportional to 13,031.31, 17,983.17 and 7,063.11 is: 9,747.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,031.31 : 17,983.17 = 7,063.11 : x
  2. Step 2: Convert to fraction form
    13,031.31/17,983.17 = 7,063.11/x
  3. Step 3: Cross multiply
    13,031.31x = 17,983.17 × 7,063.11
  4. Step 4: Simplify right side
    13,031.31x = 127,017,107.86
  5. Step 5: Solve for x
    x = 127,017,107.86/13,031.31
  6. Step 6: Final answer
    x = 9,747.07

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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.