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Finding the Fourth Proportional to 22,752.32, 34,137.28 and 7,962.88

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Solution

The fourth proportional to 22,752.32, 34,137.28 and 7,962.88 is: 11,947.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,752.32 : 34,137.28 = 7,962.88 : x
  2. Step 2: Convert to fraction form
    22,752.32/34,137.28 = 7,962.88/x
  3. Step 3: Cross multiply
    22,752.32x = 34,137.28 × 7,962.88
  4. Step 4: Simplify right side
    22,752.32x = 271,831,064.17
  5. Step 5: Solve for x
    x = 271,831,064.17/22,752.32
  6. Step 6: Final answer
    x = 11,947.40

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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.