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Finding the Fourth Proportional to 12,712.85, 17,542.82 and 7,331.46

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Solution

The fourth proportional to 12,712.85, 17,542.82 and 7,331.46 is: 10,116.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,712.85 : 17,542.82 = 7,331.46 : x
  2. Step 2: Convert to fraction form
    12,712.85/17,542.82 = 7,331.46/x
  3. Step 3: Cross multiply
    12,712.85x = 17,542.82 × 7,331.46
  4. Step 4: Simplify right side
    12,712.85x = 128,614,482.79
  5. Step 5: Solve for x
    x = 128,614,482.79/12,712.85
  6. Step 6: Final answer
    x = 10,116.89

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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.