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Finding the Fourth Proportional to 6,499.46, 9,751.62 and 4,869.74

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Solution

The fourth proportional to 6,499.46, 9,751.62 and 4,869.74 is: 7,306.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.46 : 9,751.62 = 4,869.74 : x
  2. Step 2: Convert to fraction form
    6,499.46/9,751.62 = 4,869.74/x
  3. Step 3: Cross multiply
    6,499.46x = 9,751.62 × 4,869.74
  4. Step 4: Simplify right side
    6,499.46x = 47,487,805.22
  5. Step 5: Solve for x
    x = 47,487,805.22/6,499.46
  6. Step 6: Final answer
    x = 7,306.43

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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.