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Finding the Fourth Proportional to 6,473.89, 8,934.17 and 3,823.57

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Solution

The fourth proportional to 6,473.89, 8,934.17 and 3,823.57 is: 5,276.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.89 : 8,934.17 = 3,823.57 : x
  2. Step 2: Convert to fraction form
    6,473.89/8,934.17 = 3,823.57/x
  3. Step 3: Cross multiply
    6,473.89x = 8,934.17 × 3,823.57
  4. Step 4: Simplify right side
    6,473.89x = 34,160,424.39
  5. Step 5: Solve for x
    x = 34,160,424.39/6,473.89
  6. Step 6: Final answer
    x = 5,276.65

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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.