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Finding the Fourth Proportional to 15,686.64, 21,657.70 and 9,724.64

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Solution

The fourth proportional to 15,686.64, 21,657.70 and 9,724.64 is: 13,426.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,686.64 : 21,657.70 = 9,724.64 : x
  2. Step 2: Convert to fraction form
    15,686.64/21,657.70 = 9,724.64/x
  3. Step 3: Cross multiply
    15,686.64x = 21,657.70 × 9,724.64
  4. Step 4: Simplify right side
    15,686.64x = 210,613,335.73
  5. Step 5: Solve for x
    x = 210,613,335.73/15,686.64
  6. Step 6: Final answer
    x = 13,426.29

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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.