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Finding the Fourth Proportional to 7,144.80, 10,693.86 and 6,462.78

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Solution

The fourth proportional to 7,144.80, 10,693.86 and 6,462.78 is: 9,673.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.80 : 10,693.86 = 6,462.78 : x
  2. Step 2: Convert to fraction form
    7,144.80/10,693.86 = 6,462.78/x
  3. Step 3: Cross multiply
    7,144.80x = 10,693.86 × 6,462.78
  4. Step 4: Simplify right side
    7,144.80x = 69,112,064.53
  5. Step 5: Solve for x
    x = 69,112,064.53/7,144.80
  6. Step 6: Final answer
    x = 9,673.06

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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.