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Finding the Fourth Proportional to 5,211.28, 7,822.41 and 5,093.74

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Solution

The fourth proportional to 5,211.28, 7,822.41 and 5,093.74 is: 7,645.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,211.28 : 7,822.41 = 5,093.74 : x
  2. Step 2: Convert to fraction form
    5,211.28/7,822.41 = 5,093.74/x
  3. Step 3: Cross multiply
    5,211.28x = 7,822.41 × 5,093.74
  4. Step 4: Simplify right side
    5,211.28x = 39,845,322.71
  5. Step 5: Solve for x
    x = 39,845,322.71/5,211.28
  6. Step 6: Final answer
    x = 7,645.98

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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.