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Finding the Fourth Proportional to 9,644.68, 14,382.53 and 9,557.08

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Solution

The fourth proportional to 9,644.68, 14,382.53 and 9,557.08 is: 14,251.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.68 : 14,382.53 = 9,557.08 : x
  2. Step 2: Convert to fraction form
    9,644.68/14,382.53 = 9,557.08/x
  3. Step 3: Cross multiply
    9,644.68x = 14,382.53 × 9,557.08
  4. Step 4: Simplify right side
    9,644.68x = 137,454,989.81
  5. Step 5: Solve for x
    x = 137,454,989.81/9,644.68
  6. Step 6: Final answer
    x = 14,251.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.