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Finding the Fourth Proportional to 25,963.20, 38,944.08 and 7,495.20

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Solution

The fourth proportional to 25,963.20, 38,944.08 and 7,495.20 is: 11,242.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,963.20 : 38,944.08 = 7,495.20 : x
  2. Step 2: Convert to fraction form
    25,963.20/38,944.08 = 7,495.20/x
  3. Step 3: Cross multiply
    25,963.20x = 38,944.08 × 7,495.20
  4. Step 4: Simplify right side
    25,963.20x = 291,893,668.42
  5. Step 5: Solve for x
    x = 291,893,668.42/25,963.20
  6. Step 6: Final answer
    x = 11,242.59

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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.