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Finding the Fourth Proportional to 5,646.12, 8,468.10 and 1,750.20

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Solution

The fourth proportional to 5,646.12, 8,468.10 and 1,750.20 is: 2,624.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.12 : 8,468.10 = 1,750.20 : x
  2. Step 2: Convert to fraction form
    5,646.12/8,468.10 = 1,750.20/x
  3. Step 3: Cross multiply
    5,646.12x = 8,468.10 × 1,750.20
  4. Step 4: Simplify right side
    5,646.12x = 14,820,868.62
  5. Step 5: Solve for x
    x = 14,820,868.62/5,646.12
  6. Step 6: Final answer
    x = 2,624.97

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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.