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Finding the Fourth Proportional to 15,776.96, 21,773.28 and 9,152.96

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Solution

The fourth proportional to 15,776.96, 21,773.28 and 9,152.96 is: 12,631.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,776.96 : 21,773.28 = 9,152.96 : x
  2. Step 2: Convert to fraction form
    15,776.96/21,773.28 = 9,152.96/x
  3. Step 3: Cross multiply
    15,776.96x = 21,773.28 × 9,152.96
  4. Step 4: Simplify right side
    15,776.96x = 199,289,960.91
  5. Step 5: Solve for x
    x = 199,289,960.91/15,776.96
  6. Step 6: Final answer
    x = 12,631.71

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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.