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Finding the Fourth Proportional to 16,250, 24,374.88 and 4,563.20

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Solution

The fourth proportional to 16,250, 24,374.88 and 4,563.20 is: 6,844.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,250 : 24,374.88 = 4,563.20 : x
  2. Step 2: Convert to fraction form
    16,250/24,374.88 = 4,563.20/x
  3. Step 3: Cross multiply
    16,250x = 24,374.88 × 4,563.20
  4. Step 4: Simplify right side
    16,250x = 111,227,452.42
  5. Step 5: Solve for x
    x = 111,227,452.42/16,250
  6. Step 6: Final answer
    x = 6,844.77

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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.