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Finding the Fourth Proportional to 6,966.33, 10,487.50 and 6,353.97

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Solution

The fourth proportional to 6,966.33, 10,487.50 and 6,353.97 is: 9,565.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.33 : 10,487.50 = 6,353.97 : x
  2. Step 2: Convert to fraction form
    6,966.33/10,487.50 = 6,353.97/x
  3. Step 3: Cross multiply
    6,966.33x = 10,487.50 × 6,353.97
  4. Step 4: Simplify right side
    6,966.33x = 66,637,260.38
  5. Step 5: Solve for x
    x = 66,637,260.38/6,966.33
  6. Step 6: Final answer
    x = 9,565.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.