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Finding the Fourth Proportional to 6,275.34, 9,358.23 and 5,498.96

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Solution

The fourth proportional to 6,275.34, 9,358.23 and 5,498.96 is: 8,200.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.34 : 9,358.23 = 5,498.96 : x
  2. Step 2: Convert to fraction form
    6,275.34/9,358.23 = 5,498.96/x
  3. Step 3: Cross multiply
    6,275.34x = 9,358.23 × 5,498.96
  4. Step 4: Simplify right side
    6,275.34x = 51,460,506.27
  5. Step 5: Solve for x
    x = 51,460,506.27/6,275.34
  6. Step 6: Final answer
    x = 8,200.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.