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Finding the Fourth Proportional to 25,397.32, 38,099.96 and 7,863

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Solution

The fourth proportional to 25,397.32, 38,099.96 and 7,863 is: 11,795.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,397.32 : 38,099.96 = 7,863 : x
  2. Step 2: Convert to fraction form
    25,397.32/38,099.96 = 7,863/x
  3. Step 3: Cross multiply
    25,397.32x = 38,099.96 × 7,863
  4. Step 4: Simplify right side
    25,397.32x = 299,579,985.48
  5. Step 5: Solve for x
    x = 299,579,985.48/25,397.32
  6. Step 6: Final answer
    x = 11,795.73

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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.