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Finding the Fourth Proportional to 16,648.50, 22,965.20 and 10,362.90

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Solution

The fourth proportional to 16,648.50, 22,965.20 and 10,362.90 is: 14,294.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,648.50 : 22,965.20 = 10,362.90 : x
  2. Step 2: Convert to fraction form
    16,648.50/22,965.20 = 10,362.90/x
  3. Step 3: Cross multiply
    16,648.50x = 22,965.20 × 10,362.90
  4. Step 4: Simplify right side
    16,648.50x = 237,986,071.08
  5. Step 5: Solve for x
    x = 237,986,071.08/16,648.50
  6. Step 6: Final answer
    x = 14,294.75

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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.