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Finding the Fourth Proportional to 6,821.70, 10,232.55 and 6,457.20

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Solution

The fourth proportional to 6,821.70, 10,232.55 and 6,457.20 is: 9,685.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.70 : 10,232.55 = 6,457.20 : x
  2. Step 2: Convert to fraction form
    6,821.70/10,232.55 = 6,457.20/x
  3. Step 3: Cross multiply
    6,821.70x = 10,232.55 × 6,457.20
  4. Step 4: Simplify right side
    6,821.70x = 66,073,621.86
  5. Step 5: Solve for x
    x = 66,073,621.86/6,821.70
  6. Step 6: Final answer
    x = 9,685.80

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Similar ratio
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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.