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Finding the Fourth Proportional to 5,496.84, 8,243.64 and 4,265.64

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Solution

The fourth proportional to 5,496.84, 8,243.64 and 4,265.64 is: 6,397.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496.84 : 8,243.64 = 4,265.64 : x
  2. Step 2: Convert to fraction form
    5,496.84/8,243.64 = 4,265.64/x
  3. Step 3: Cross multiply
    5,496.84x = 8,243.64 × 4,265.64
  4. Step 4: Simplify right side
    5,496.84x = 35,164,400.53
  5. Step 5: Solve for x
    x = 35,164,400.53/5,496.84
  6. Step 6: Final answer
    x = 6,397.20

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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.