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Finding the Fourth Proportional to 5,584.14, 8,370.12 and 3,505.68

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Solution

The fourth proportional to 5,584.14, 8,370.12 and 3,505.68 is: 5,254.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.14 : 8,370.12 = 3,505.68 : x
  2. Step 2: Convert to fraction form
    5,584.14/8,370.12 = 3,505.68/x
  3. Step 3: Cross multiply
    5,584.14x = 8,370.12 × 3,505.68
  4. Step 4: Simplify right side
    5,584.14x = 29,342,962.28
  5. Step 5: Solve for x
    x = 29,342,962.28/5,584.14
  6. Step 6: Final answer
    x = 5,254.70

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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.