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Finding the Fourth Proportional to 12,337.10, 17,024.14 and 7,031.80

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Solution

The fourth proportional to 12,337.10, 17,024.14 and 7,031.80 is: 9,703.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,337.10 : 17,024.14 = 7,031.80 : x
  2. Step 2: Convert to fraction form
    12,337.10/17,024.14 = 7,031.80/x
  3. Step 3: Cross multiply
    12,337.10x = 17,024.14 × 7,031.80
  4. Step 4: Simplify right side
    12,337.10x = 119,710,347.65
  5. Step 5: Solve for x
    x = 119,710,347.65/12,337.10
  6. Step 6: Final answer
    x = 9,703.28

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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.