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Finding the Fourth Proportional to 12,531.61, 17,292.86 and 7,154.66

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Solution

The fourth proportional to 12,531.61, 17,292.86 and 7,154.66 is: 9,873.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,531.61 : 17,292.86 = 7,154.66 : x
  2. Step 2: Convert to fraction form
    12,531.61/17,292.86 = 7,154.66/x
  3. Step 3: Cross multiply
    12,531.61x = 17,292.86 × 7,154.66
  4. Step 4: Simplify right side
    12,531.61x = 123,724,568.02
  5. Step 5: Solve for x
    x = 123,724,568.02/12,531.61
  6. Step 6: Final answer
    x = 9,873.00

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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.