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Finding the Fourth Proportional to 6,049.50, 8,349.76 and 3,693.64

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Solution

The fourth proportional to 6,049.50, 8,349.76 and 3,693.64 is: 5,098.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,049.50 : 8,349.76 = 3,693.64 : x
  2. Step 2: Convert to fraction form
    6,049.50/8,349.76 = 3,693.64/x
  3. Step 3: Cross multiply
    6,049.50x = 8,349.76 × 3,693.64
  4. Step 4: Simplify right side
    6,049.50x = 30,841,007.53
  5. Step 5: Solve for x
    x = 30,841,007.53/6,049.50
  6. Step 6: Final answer
    x = 5,098.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.