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Finding the Fourth Proportional to 26,575.28, 39,869.81 and 7,854.56

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Solution

The fourth proportional to 26,575.28, 39,869.81 and 7,854.56 is: 11,783.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,575.28 : 39,869.81 = 7,854.56 : x
  2. Step 2: Convert to fraction form
    26,575.28/39,869.81 = 7,854.56/x
  3. Step 3: Cross multiply
    26,575.28x = 39,869.81 × 7,854.56
  4. Step 4: Simplify right side
    26,575.28x = 313,159,814.83
  5. Step 5: Solve for x
    x = 313,159,814.83/26,575.28
  6. Step 6: Final answer
    x = 11,783.88

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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.