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Finding the Fourth Proportional to 6,000.48, 8,281.68 and 3,878.64

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Solution

The fourth proportional to 6,000.48, 8,281.68 and 3,878.64 is: 5,353.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,000.48 : 8,281.68 = 3,878.64 : x
  2. Step 2: Convert to fraction form
    6,000.48/8,281.68 = 3,878.64/x
  3. Step 3: Cross multiply
    6,000.48x = 8,281.68 × 3,878.64
  4. Step 4: Simplify right side
    6,000.48x = 32,121,655.32
  5. Step 5: Solve for x
    x = 32,121,655.32/6,000.48
  6. Step 6: Final answer
    x = 5,353.18

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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.