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Finding the Fourth Proportional to 15,854.04, 23,781 and 4,760.73

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Solution

The fourth proportional to 15,854.04, 23,781 and 4,760.73 is: 7,141.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,854.04 : 23,781 = 4,760.73 : x
  2. Step 2: Convert to fraction form
    15,854.04/23,781 = 4,760.73/x
  3. Step 3: Cross multiply
    15,854.04x = 23,781 × 4,760.73
  4. Step 4: Simplify right side
    15,854.04x = 113,214,920.13
  5. Step 5: Solve for x
    x = 113,214,920.13/15,854.04
  6. Step 6: Final answer
    x = 7,141.08

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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.