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Finding the Fourth Proportional to 5,597.70, 8,394.42 and 1,648.12

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Solution

The fourth proportional to 5,597.70, 8,394.42 and 1,648.12 is: 2,471.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,597.70 : 8,394.42 = 1,648.12 : x
  2. Step 2: Convert to fraction form
    5,597.70/8,394.42 = 1,648.12/x
  3. Step 3: Cross multiply
    5,597.70x = 8,394.42 × 1,648.12
  4. Step 4: Simplify right side
    5,597.70x = 13,835,011.49
  5. Step 5: Solve for x
    x = 13,835,011.49/5,597.70
  6. Step 6: Final answer
    x = 2,471.55

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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.