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Finding the Fourth Proportional to 7,130.54, 9,834.17 and 5,342.22

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Solution

The fourth proportional to 7,130.54, 9,834.17 and 5,342.22 is: 7,367.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.54 : 9,834.17 = 5,342.22 : x
  2. Step 2: Convert to fraction form
    7,130.54/9,834.17 = 5,342.22/x
  3. Step 3: Cross multiply
    7,130.54x = 9,834.17 × 5,342.22
  4. Step 4: Simplify right side
    7,130.54x = 52,536,299.66
  5. Step 5: Solve for x
    x = 52,536,299.66/7,130.54
  6. Step 6: Final answer
    x = 7,367.79

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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.