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Finding the Fourth Proportional to 7,352.66, 10,142.10 and 4,366.34

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Solution

The fourth proportional to 7,352.66, 10,142.10 and 4,366.34 is: 6,022.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,352.66 : 10,142.10 = 4,366.34 : x
  2. Step 2: Convert to fraction form
    7,352.66/10,142.10 = 4,366.34/x
  3. Step 3: Cross multiply
    7,352.66x = 10,142.10 × 4,366.34
  4. Step 4: Simplify right side
    7,352.66x = 44,283,856.91
  5. Step 5: Solve for x
    x = 44,283,856.91/7,352.66
  6. Step 6: Final answer
    x = 6,022.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.