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Finding the Fourth Proportional to 8,242.75, 11,374.76 and 4,839.71

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Solution

The fourth proportional to 8,242.75, 11,374.76 and 4,839.71 is: 6,678.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.75 : 11,374.76 = 4,839.71 : x
  2. Step 2: Convert to fraction form
    8,242.75/11,374.76 = 4,839.71/x
  3. Step 3: Cross multiply
    8,242.75x = 11,374.76 × 4,839.71
  4. Step 4: Simplify right side
    8,242.75x = 55,050,458.65
  5. Step 5: Solve for x
    x = 55,050,458.65/8,242.75
  6. Step 6: Final answer
    x = 6,678.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.