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Finding the Fourth Proportional to 5,375.14, 7,447.56 and 5,258.50

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Solution

The fourth proportional to 5,375.14, 7,447.56 and 5,258.50 is: 7,285.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,375.14 : 7,447.56 = 5,258.50 : x
  2. Step 2: Convert to fraction form
    5,375.14/7,447.56 = 5,258.50/x
  3. Step 3: Cross multiply
    5,375.14x = 7,447.56 × 5,258.50
  4. Step 4: Simplify right side
    5,375.14x = 39,162,994.26
  5. Step 5: Solve for x
    x = 39,162,994.26/5,375.14
  6. Step 6: Final answer
    x = 7,285.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.