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Finding the Fourth Proportional to 16,647.57, 22,972.73 and 9,574.11

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Solution

The fourth proportional to 16,647.57, 22,972.73 and 9,574.11 is: 13,211.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,647.57 : 22,972.73 = 9,574.11 : x
  2. Step 2: Convert to fraction form
    16,647.57/22,972.73 = 9,574.11/x
  3. Step 3: Cross multiply
    16,647.57x = 22,972.73 × 9,574.11
  4. Step 4: Simplify right side
    16,647.57x = 219,943,396.15
  5. Step 5: Solve for x
    x = 219,943,396.15/16,647.57
  6. Step 6: Final answer
    x = 13,211.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.