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Finding the Fourth Proportional to 9,357.38, 12,914 and 5,379.87

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Solution

The fourth proportional to 9,357.38, 12,914 and 5,379.87 is: 7,424.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.38 : 12,914 = 5,379.87 : x
  2. Step 2: Convert to fraction form
    9,357.38/12,914 = 5,379.87/x
  3. Step 3: Cross multiply
    9,357.38x = 12,914 × 5,379.87
  4. Step 4: Simplify right side
    9,357.38x = 69,475,641.18
  5. Step 5: Solve for x
    x = 69,475,641.18/9,357.38
  6. Step 6: Final answer
    x = 7,424.69

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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.