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Finding the Fourth Proportional to 6,758.26, 9,332.80 and 6,390.10

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Solution

The fourth proportional to 6,758.26, 9,332.80 and 6,390.10 is: 8,824.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,758.26 : 9,332.80 = 6,390.10 : x
  2. Step 2: Convert to fraction form
    6,758.26/9,332.80 = 6,390.10/x
  3. Step 3: Cross multiply
    6,758.26x = 9,332.80 × 6,390.10
  4. Step 4: Simplify right side
    6,758.26x = 59,637,525.28
  5. Step 5: Solve for x
    x = 59,637,525.28/6,758.26
  6. Step 6: Final answer
    x = 8,824.39

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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.