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Finding the Fourth Proportional to 12,352.38, 17,045.64 and 7,318.14

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Solution

The fourth proportional to 12,352.38, 17,045.64 and 7,318.14 is: 10,098.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,352.38 : 17,045.64 = 7,318.14 : x
  2. Step 2: Convert to fraction form
    12,352.38/17,045.64 = 7,318.14/x
  3. Step 3: Cross multiply
    12,352.38x = 17,045.64 × 7,318.14
  4. Step 4: Simplify right side
    12,352.38x = 124,742,379.91
  5. Step 5: Solve for x
    x = 124,742,379.91/12,352.38
  6. Step 6: Final answer
    x = 10,098.65

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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.