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Finding the Fourth Proportional to 5,158.14, 7,764.95 and 4,406.46

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Solution

The fourth proportional to 5,158.14, 7,764.95 and 4,406.46 is: 6,633.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.14 : 7,764.95 = 4,406.46 : x
  2. Step 2: Convert to fraction form
    5,158.14/7,764.95 = 4,406.46/x
  3. Step 3: Cross multiply
    5,158.14x = 7,764.95 × 4,406.46
  4. Step 4: Simplify right side
    5,158.14x = 34,215,919.54
  5. Step 5: Solve for x
    x = 34,215,919.54/5,158.14
  6. Step 6: Final answer
    x = 6,633.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.