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Finding the Fourth Proportional to 9,882.50, 14,822.65 and 2,486.96

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Solution

The fourth proportional to 9,882.50, 14,822.65 and 2,486.96 is: 3,730.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.50 : 14,822.65 = 2,486.96 : x
  2. Step 2: Convert to fraction form
    9,882.50/14,822.65 = 2,486.96/x
  3. Step 3: Cross multiply
    9,882.50x = 14,822.65 × 2,486.96
  4. Step 4: Simplify right side
    9,882.50x = 36,863,337.64
  5. Step 5: Solve for x
    x = 36,863,337.64/9,882.50
  6. Step 6: Final answer
    x = 3,730.16

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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.