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Finding the Fourth Proportional to 9,585.53, 14,380.68 and 7,618.58

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Solution

The fourth proportional to 9,585.53, 14,380.68 and 7,618.58 is: 11,429.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.53 : 14,380.68 = 7,618.58 : x
  2. Step 2: Convert to fraction form
    9,585.53/14,380.68 = 7,618.58/x
  3. Step 3: Cross multiply
    9,585.53x = 14,380.68 × 7,618.58
  4. Step 4: Simplify right side
    9,585.53x = 109,560,251.04
  5. Step 5: Solve for x
    x = 109,560,251.04/9,585.53
  6. Step 6: Final answer
    x = 11,429.76

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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.