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Finding the Fourth Proportional to 15,776.40, 23,672.88 and 5,922.48

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Solution

The fourth proportional to 15,776.40, 23,672.88 and 5,922.48 is: 8,886.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,776.40 : 23,672.88 = 5,922.48 : x
  2. Step 2: Convert to fraction form
    15,776.40/23,672.88 = 5,922.48/x
  3. Step 3: Cross multiply
    15,776.40x = 23,672.88 × 5,922.48
  4. Step 4: Simplify right side
    15,776.40x = 140,202,158.34
  5. Step 5: Solve for x
    x = 140,202,158.34/15,776.40
  6. Step 6: Final answer
    x = 8,886.83

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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.