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Finding the Fourth Proportional to 22,886.64, 34,342.92 and 9,737.64

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Solution

The fourth proportional to 22,886.64, 34,342.92 and 9,737.64 is: 14,611.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,886.64 : 34,342.92 = 9,737.64 : x
  2. Step 2: Convert to fraction form
    22,886.64/34,342.92 = 9,737.64/x
  3. Step 3: Cross multiply
    22,886.64x = 34,342.92 × 9,737.64
  4. Step 4: Simplify right side
    22,886.64x = 334,418,991.51
  5. Step 5: Solve for x
    x = 334,418,991.51/22,886.64
  6. Step 6: Final answer
    x = 14,611.97

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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.