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Finding the Fourth Proportional to 15,954.90, 23,974.59 and 8,564.82

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Solution

The fourth proportional to 15,954.90, 23,974.59 and 8,564.82 is: 12,869.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,954.90 : 23,974.59 = 8,564.82 : x
  2. Step 2: Convert to fraction form
    15,954.90/23,974.59 = 8,564.82/x
  3. Step 3: Cross multiply
    15,954.90x = 23,974.59 × 8,564.82
  4. Step 4: Simplify right side
    15,954.90x = 205,338,047.92
  5. Step 5: Solve for x
    x = 205,338,047.92/15,954.90
  6. Step 6: Final answer
    x = 12,869.91

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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.