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Finding the Fourth Proportional to 9,624.45, 13,280.79 and 5,375.17

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Solution

The fourth proportional to 9,624.45, 13,280.79 and 5,375.17 is: 7,417.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.45 : 13,280.79 = 5,375.17 : x
  2. Step 2: Convert to fraction form
    9,624.45/13,280.79 = 5,375.17/x
  3. Step 3: Cross multiply
    9,624.45x = 13,280.79 × 5,375.17
  4. Step 4: Simplify right side
    9,624.45x = 71,386,410.70
  5. Step 5: Solve for x
    x = 71,386,410.70/9,624.45
  6. Step 6: Final answer
    x = 7,417.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.