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Finding the Fourth Proportional to 7,437.62, 11,149.94 and 6,348.98

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Solution

The fourth proportional to 7,437.62, 11,149.94 and 6,348.98 is: 9,517.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,437.62 : 11,149.94 = 6,348.98 : x
  2. Step 2: Convert to fraction form
    7,437.62/11,149.94 = 6,348.98/x
  3. Step 3: Cross multiply
    7,437.62x = 11,149.94 × 6,348.98
  4. Step 4: Simplify right side
    7,437.62x = 70,790,746.06
  5. Step 5: Solve for x
    x = 70,790,746.06/7,437.62
  6. Step 6: Final answer
    x = 9,517.93

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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.