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Finding the Fourth Proportional to 15,778.96, 21,776.04 and 9,154.96

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Solution

The fourth proportional to 15,778.96, 21,776.04 and 9,154.96 is: 12,634.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,778.96 : 21,776.04 = 9,154.96 : x
  2. Step 2: Convert to fraction form
    15,778.96/21,776.04 = 9,154.96/x
  3. Step 3: Cross multiply
    15,778.96x = 21,776.04 × 9,154.96
  4. Step 4: Simplify right side
    15,778.96x = 199,358,775.16
  5. Step 5: Solve for x
    x = 199,358,775.16/15,778.96
  6. Step 6: Final answer
    x = 12,634.47

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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.