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Finding the Fourth Proportional to 23,648.56, 35,472.77 and 7,854.81

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Solution

The fourth proportional to 23,648.56, 35,472.77 and 7,854.81 is: 11,782.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,648.56 : 35,472.77 = 7,854.81 : x
  2. Step 2: Convert to fraction form
    23,648.56/35,472.77 = 7,854.81/x
  3. Step 3: Cross multiply
    23,648.56x = 35,472.77 × 7,854.81
  4. Step 4: Simplify right side
    23,648.56x = 278,631,725.68
  5. Step 5: Solve for x
    x = 278,631,725.68/23,648.56
  6. Step 6: Final answer
    x = 11,782.19

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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.