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Finding the Fourth Proportional to 26,496.42, 39,743.42 and 7,775.70

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Solution

The fourth proportional to 26,496.42, 39,743.42 and 7,775.70 is: 11,663.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,496.42 : 39,743.42 = 7,775.70 : x
  2. Step 2: Convert to fraction form
    26,496.42/39,743.42 = 7,775.70/x
  3. Step 3: Cross multiply
    26,496.42x = 39,743.42 × 7,775.70
  4. Step 4: Simplify right side
    26,496.42x = 309,032,872.02
  5. Step 5: Solve for x
    x = 309,032,872.02/26,496.42
  6. Step 6: Final answer
    x = 11,663.19

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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.