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Finding the Fourth Proportional to 7,966.73, 11,002.05 and 6,564.31

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Solution

The fourth proportional to 7,966.73, 11,002.05 and 6,564.31 is: 9,065.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.73 : 11,002.05 = 6,564.31 : x
  2. Step 2: Convert to fraction form
    7,966.73/11,002.05 = 6,564.31/x
  3. Step 3: Cross multiply
    7,966.73x = 11,002.05 × 6,564.31
  4. Step 4: Simplify right side
    7,966.73x = 72,220,839.33
  5. Step 5: Solve for x
    x = 72,220,839.33/7,966.73
  6. Step 6: Final answer
    x = 9,065.30

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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.