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Finding the Fourth Proportional to 8,287.65, 12,431.52 and 2,444.40

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Solution

The fourth proportional to 8,287.65, 12,431.52 and 2,444.40 is: 3,666.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.65 : 12,431.52 = 2,444.40 : x
  2. Step 2: Convert to fraction form
    8,287.65/12,431.52 = 2,444.40/x
  3. Step 3: Cross multiply
    8,287.65x = 12,431.52 × 2,444.40
  4. Step 4: Simplify right side
    8,287.65x = 30,387,607.49
  5. Step 5: Solve for x
    x = 30,387,607.49/8,287.65
  6. Step 6: Final answer
    x = 3,666.61

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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.