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Finding the Fourth Proportional to 5,501.76, 8,245.12 and 2,724.16

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Solution

The fourth proportional to 5,501.76, 8,245.12 and 2,724.16 is: 4,082.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,501.76 : 8,245.12 = 2,724.16 : x
  2. Step 2: Convert to fraction form
    5,501.76/8,245.12 = 2,724.16/x
  3. Step 3: Cross multiply
    5,501.76x = 8,245.12 × 2,724.16
  4. Step 4: Simplify right side
    5,501.76x = 22,461,026.10
  5. Step 5: Solve for x
    x = 22,461,026.10/5,501.76
  6. Step 6: Final answer
    x = 4,082.52

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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.