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Finding the Fourth Proportional to 15,854.97, 23,784.27 and 9,281.22

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Solution

The fourth proportional to 15,854.97, 23,784.27 and 9,281.22 is: 13,922.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,854.97 : 23,784.27 = 9,281.22 : x
  2. Step 2: Convert to fraction form
    15,854.97/23,784.27 = 9,281.22/x
  3. Step 3: Cross multiply
    15,854.97x = 23,784.27 × 9,281.22
  4. Step 4: Simplify right side
    15,854.97x = 220,747,042.41
  5. Step 5: Solve for x
    x = 220,747,042.41/15,854.97
  6. Step 6: Final answer
    x = 13,922.89

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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.