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Finding the Fourth Proportional to 14,954.64, 22,432.32 and 7,154.88

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Solution

The fourth proportional to 14,954.64, 22,432.32 and 7,154.88 is: 10,732.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,954.64 : 22,432.32 = 7,154.88 : x
  2. Step 2: Convert to fraction form
    14,954.64/22,432.32 = 7,154.88/x
  3. Step 3: Cross multiply
    14,954.64x = 22,432.32 × 7,154.88
  4. Step 4: Simplify right side
    14,954.64x = 160,500,557.72
  5. Step 5: Solve for x
    x = 160,500,557.72/14,954.64
  6. Step 6: Final answer
    x = 10,732.49

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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.