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Finding the Fourth Proportional to 28,641.12, 42,959.16 and 7,864.62

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Solution

The fourth proportional to 28,641.12, 42,959.16 and 7,864.62 is: 11,796.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,641.12 : 42,959.16 = 7,864.62 : x
  2. Step 2: Convert to fraction form
    28,641.12/42,959.16 = 7,864.62/x
  3. Step 3: Cross multiply
    28,641.12x = 42,959.16 × 7,864.62
  4. Step 4: Simplify right side
    28,641.12x = 337,857,468.92
  5. Step 5: Solve for x
    x = 337,857,468.92/28,641.12
  6. Step 6: Final answer
    x = 11,796.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.