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Finding the Fourth Proportional to 5,862.25, 8,793.10 and 2,164.24

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Solution

The fourth proportional to 5,862.25, 8,793.10 and 2,164.24 is: 3,246.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,862.25 : 8,793.10 = 2,164.24 : x
  2. Step 2: Convert to fraction form
    5,862.25/8,793.10 = 2,164.24/x
  3. Step 3: Cross multiply
    5,862.25x = 8,793.10 × 2,164.24
  4. Step 4: Simplify right side
    5,862.25x = 19,030,323.96
  5. Step 5: Solve for x
    x = 19,030,323.96/5,862.25
  6. Step 6: Final answer
    x = 3,246.25

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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.