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Finding the Fourth Proportional to 5,934.70, 8,902.56 and 1,552.14

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Solution

The fourth proportional to 5,934.70, 8,902.56 and 1,552.14 is: 2,328.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,934.70 : 8,902.56 = 1,552.14 : x
  2. Step 2: Convert to fraction form
    5,934.70/8,902.56 = 1,552.14/x
  3. Step 3: Cross multiply
    5,934.70x = 8,902.56 × 1,552.14
  4. Step 4: Simplify right side
    5,934.70x = 13,818,019.48
  5. Step 5: Solve for x
    x = 13,818,019.48/5,934.70
  6. Step 6: Final answer
    x = 2,328.34

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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.