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Finding the Fourth Proportional to 15,730.71, 21,708.37 and 8,657.14

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Solution

The fourth proportional to 15,730.71, 21,708.37 and 8,657.14 is: 11,946.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,730.71 : 21,708.37 = 8,657.14 : x
  2. Step 2: Convert to fraction form
    15,730.71/21,708.37 = 8,657.14/x
  3. Step 3: Cross multiply
    15,730.71x = 21,708.37 × 8,657.14
  4. Step 4: Simplify right side
    15,730.71x = 187,932,322.35
  5. Step 5: Solve for x
    x = 187,932,322.35/15,730.71
  6. Step 6: Final answer
    x = 11,946.84

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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.