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Finding the Fourth Proportional to 9,374.71, 12,922.09 and 6,348.91

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Solution

The fourth proportional to 9,374.71, 12,922.09 and 6,348.91 is: 8,751.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,374.71 : 12,922.09 = 6,348.91 : x
  2. Step 2: Convert to fraction form
    9,374.71/12,922.09 = 6,348.91/x
  3. Step 3: Cross multiply
    9,374.71x = 12,922.09 × 6,348.91
  4. Step 4: Simplify right side
    9,374.71x = 82,041,170.77
  5. Step 5: Solve for x
    x = 82,041,170.77/9,374.71
  6. Step 6: Final answer
    x = 8,751.33

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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.