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Finding the Fourth Proportional to 5,569.90, 8,356.26 and 1,674.20

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Solution

The fourth proportional to 5,569.90, 8,356.26 and 1,674.20 is: 2,511.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,569.90 : 8,356.26 = 1,674.20 : x
  2. Step 2: Convert to fraction form
    5,569.90/8,356.26 = 1,674.20/x
  3. Step 3: Cross multiply
    5,569.90x = 8,356.26 × 1,674.20
  4. Step 4: Simplify right side
    5,569.90x = 13,990,077.66
  5. Step 5: Solve for x
    x = 13,990,077.66/5,569.90
  6. Step 6: Final answer
    x = 2,511.73

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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.