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Finding the Fourth Proportional to 15,902.79, 23,854.41 and 4,809.57

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Solution

The fourth proportional to 15,902.79, 23,854.41 and 4,809.57 is: 7,214.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,902.79 : 23,854.41 = 4,809.57 : x
  2. Step 2: Convert to fraction form
    15,902.79/23,854.41 = 4,809.57/x
  3. Step 3: Cross multiply
    15,902.79x = 23,854.41 × 4,809.57
  4. Step 4: Simplify right side
    15,902.79x = 114,729,454.70
  5. Step 5: Solve for x
    x = 114,729,454.70/15,902.79
  6. Step 6: Final answer
    x = 7,214.42

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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.