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Finding the Fourth Proportional to 12,296.74, 16,964.49 and 8,572.90

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Solution

The fourth proportional to 12,296.74, 16,964.49 and 8,572.90 is: 11,827.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.74 : 16,964.49 = 8,572.90 : x
  2. Step 2: Convert to fraction form
    12,296.74/16,964.49 = 8,572.90/x
  3. Step 3: Cross multiply
    12,296.74x = 16,964.49 × 8,572.90
  4. Step 4: Simplify right side
    12,296.74x = 145,434,876.32
  5. Step 5: Solve for x
    x = 145,434,876.32/12,296.74
  6. Step 6: Final answer
    x = 11,827.11

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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.