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Finding the Fourth Proportional to 26,468.16, 39,690.69 and 7,747.82

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Solution

The fourth proportional to 26,468.16, 39,690.69 and 7,747.82 is: 11,618.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,468.16 : 39,690.69 = 7,747.82 : x
  2. Step 2: Convert to fraction form
    26,468.16/39,690.69 = 7,747.82/x
  3. Step 3: Cross multiply
    26,468.16x = 39,690.69 × 7,747.82
  4. Step 4: Simplify right side
    26,468.16x = 307,516,123.34
  5. Step 5: Solve for x
    x = 307,516,123.34/26,468.16
  6. Step 6: Final answer
    x = 11,618.34

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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.