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Finding the Fourth Proportional to 6,508.97, 8,974.22 and 5,312.74

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Solution

The fourth proportional to 6,508.97, 8,974.22 and 5,312.74 is: 7,324.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.97 : 8,974.22 = 5,312.74 : x
  2. Step 2: Convert to fraction form
    6,508.97/8,974.22 = 5,312.74/x
  3. Step 3: Cross multiply
    6,508.97x = 8,974.22 × 5,312.74
  4. Step 4: Simplify right side
    6,508.97x = 47,677,722.92
  5. Step 5: Solve for x
    x = 47,677,722.92/6,508.97
  6. Step 6: Final answer
    x = 7,324.92

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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.