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Finding the Fourth Proportional to 8,956.01, 13,428.80 and 6,585.50

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Solution

The fourth proportional to 8,956.01, 13,428.80 and 6,585.50 is: 9,874.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,956.01 : 13,428.80 = 6,585.50 : x
  2. Step 2: Convert to fraction form
    8,956.01/13,428.80 = 6,585.50/x
  3. Step 3: Cross multiply
    8,956.01x = 13,428.80 × 6,585.50
  4. Step 4: Simplify right side
    8,956.01x = 88,435,363.04
  5. Step 5: Solve for x
    x = 88,435,363.04/8,956.01
  6. Step 6: Final answer
    x = 9,874.42

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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.