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Finding the Fourth Proportional to 4,766.74, 7,117.51 and 4,269.94

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Solution

The fourth proportional to 4,766.74, 7,117.51 and 4,269.94 is: 6,375.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.74 : 7,117.51 = 4,269.94 : x
  2. Step 2: Convert to fraction form
    4,766.74/7,117.51 = 4,269.94/x
  3. Step 3: Cross multiply
    4,766.74x = 7,117.51 × 4,269.94
  4. Step 4: Simplify right side
    4,766.74x = 30,391,319.30
  5. Step 5: Solve for x
    x = 30,391,319.30/4,766.74
  6. Step 6: Final answer
    x = 6,375.70

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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.