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Finding the Fourth Proportional to 7,543.87, 11,265 and 6,159.91

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Solution

The fourth proportional to 7,543.87, 11,265 and 6,159.91 is: 9,198.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,543.87 : 11,265 = 6,159.91 : x
  2. Step 2: Convert to fraction form
    7,543.87/11,265 = 6,159.91/x
  3. Step 3: Cross multiply
    7,543.87x = 11,265 × 6,159.91
  4. Step 4: Simplify right side
    7,543.87x = 69,391,386.15
  5. Step 5: Solve for x
    x = 69,391,386.15/7,543.87
  6. Step 6: Final answer
    x = 9,198.38

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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.