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Finding the Fourth Proportional to 5,473.90, 8,209.14 and 1,775.14

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Solution

The fourth proportional to 5,473.90, 8,209.14 and 1,775.14 is: 2,662.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,473.90 : 8,209.14 = 1,775.14 : x
  2. Step 2: Convert to fraction form
    5,473.90/8,209.14 = 1,775.14/x
  3. Step 3: Cross multiply
    5,473.90x = 8,209.14 × 1,775.14
  4. Step 4: Simplify right side
    5,473.90x = 14,572,372.78
  5. Step 5: Solve for x
    x = 14,572,372.78/5,473.90
  6. Step 6: Final answer
    x = 2,662.16

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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.