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Finding the Fourth Proportional to 8,278.71, 11,424.65 and 4,741.95

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Solution

The fourth proportional to 8,278.71, 11,424.65 and 4,741.95 is: 6,543.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.71 : 11,424.65 = 4,741.95 : x
  2. Step 2: Convert to fraction form
    8,278.71/11,424.65 = 4,741.95/x
  3. Step 3: Cross multiply
    8,278.71x = 11,424.65 × 4,741.95
  4. Step 4: Simplify right side
    8,278.71x = 54,175,095.36
  5. Step 5: Solve for x
    x = 54,175,095.36/8,278.71
  6. Step 6: Final answer
    x = 6,543.91

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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.