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Finding the Fourth Proportional to 11,564.71, 15,957.86 and 6,528.31

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Solution

The fourth proportional to 11,564.71, 15,957.86 and 6,528.31 is: 9,008.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.71 : 15,957.86 = 6,528.31 : x
  2. Step 2: Convert to fraction form
    11,564.71/15,957.86 = 6,528.31/x
  3. Step 3: Cross multiply
    11,564.71x = 15,957.86 × 6,528.31
  4. Step 4: Simplify right side
    11,564.71x = 104,177,824.38
  5. Step 5: Solve for x
    x = 104,177,824.38/11,564.71
  6. Step 6: Final answer
    x = 9,008.25

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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.