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Finding the Fourth Proportional to 14,861.44, 22,294.32 and 7,932.16

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Solution

The fourth proportional to 14,861.44, 22,294.32 and 7,932.16 is: 11,899.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,861.44 : 22,294.32 = 7,932.16 : x
  2. Step 2: Convert to fraction form
    14,861.44/22,294.32 = 7,932.16/x
  3. Step 3: Cross multiply
    14,861.44x = 22,294.32 × 7,932.16
  4. Step 4: Simplify right side
    14,861.44x = 176,842,113.33
  5. Step 5: Solve for x
    x = 176,842,113.33/14,861.44
  6. Step 6: Final answer
    x = 11,899.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.