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Finding the Fourth Proportional to 9,864.87, 14,791.86 and 6,748.38

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Solution

The fourth proportional to 9,864.87, 14,791.86 and 6,748.38 is: 10,118.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,864.87 : 14,791.86 = 6,748.38 : x
  2. Step 2: Convert to fraction form
    9,864.87/14,791.86 = 6,748.38/x
  3. Step 3: Cross multiply
    9,864.87x = 14,791.86 × 6,748.38
  4. Step 4: Simplify right side
    9,864.87x = 99,821,092.19
  5. Step 5: Solve for x
    x = 99,821,092.19/9,864.87
  6. Step 6: Final answer
    x = 10,118.85

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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.