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Finding the Fourth Proportional to 5,063.64, 6,983.46 and 3,294.60

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Solution

The fourth proportional to 5,063.64, 6,983.46 and 3,294.60 is: 4,543.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,063.64 : 6,983.46 = 3,294.60 : x
  2. Step 2: Convert to fraction form
    5,063.64/6,983.46 = 3,294.60/x
  3. Step 3: Cross multiply
    5,063.64x = 6,983.46 × 3,294.60
  4. Step 4: Simplify right side
    5,063.64x = 23,007,707.32
  5. Step 5: Solve for x
    x = 23,007,707.32/5,063.64
  6. Step 6: Final answer
    x = 4,543.71

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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.