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Finding the Fourth Proportional to 12,753.86, 17,600.29 and 7,088.58

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Solution

The fourth proportional to 12,753.86, 17,600.29 and 7,088.58 is: 9,782.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,753.86 : 17,600.29 = 7,088.58 : x
  2. Step 2: Convert to fraction form
    12,753.86/17,600.29 = 7,088.58/x
  3. Step 3: Cross multiply
    12,753.86x = 17,600.29 × 7,088.58
  4. Step 4: Simplify right side
    12,753.86x = 124,761,045.97
  5. Step 5: Solve for x
    x = 124,761,045.97/12,753.86
  6. Step 6: Final answer
    x = 9,782.22

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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.