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Finding the Fourth Proportional to 9,157.89, 12,637.89 and 4,966.14

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Solution

The fourth proportional to 9,157.89, 12,637.89 and 4,966.14 is: 6,853.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.89 : 12,637.89 = 4,966.14 : x
  2. Step 2: Convert to fraction form
    9,157.89/12,637.89 = 4,966.14/x
  3. Step 3: Cross multiply
    9,157.89x = 12,637.89 × 4,966.14
  4. Step 4: Simplify right side
    9,157.89x = 62,761,531.04
  5. Step 5: Solve for x
    x = 62,761,531.04/9,157.89
  6. Step 6: Final answer
    x = 6,853.27

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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.