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Finding the Fourth Proportional to 6,232.12, 9,347.18 and 1,728.10

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Solution

The fourth proportional to 6,232.12, 9,347.18 and 1,728.10 is: 2,591.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.12 : 9,347.18 = 1,728.10 : x
  2. Step 2: Convert to fraction form
    6,232.12/9,347.18 = 1,728.10/x
  3. Step 3: Cross multiply
    6,232.12x = 9,347.18 × 1,728.10
  4. Step 4: Simplify right side
    6,232.12x = 16,152,861.76
  5. Step 5: Solve for x
    x = 16,152,861.76/6,232.12
  6. Step 6: Final answer
    x = 2,591.87

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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.