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Finding the Fourth Proportional to 22,848.32, 34,248.32 and 7,850.74

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Solution

The fourth proportional to 22,848.32, 34,248.32 and 7,850.74 is: 11,767.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,848.32 : 34,248.32 = 7,850.74 : x
  2. Step 2: Convert to fraction form
    22,848.32/34,248.32 = 7,850.74/x
  3. Step 3: Cross multiply
    22,848.32x = 34,248.32 × 7,850.74
  4. Step 4: Simplify right side
    22,848.32x = 268,874,655.76
  5. Step 5: Solve for x
    x = 268,874,655.76/22,848.32
  6. Step 6: Final answer
    x = 11,767.81

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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.