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Finding the Fourth Proportional to 6,860.74, 9,468 and 4,206.62

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Solution

The fourth proportional to 6,860.74, 9,468 and 4,206.62 is: 5,805.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,860.74 : 9,468 = 4,206.62 : x
  2. Step 2: Convert to fraction form
    6,860.74/9,468 = 4,206.62/x
  3. Step 3: Cross multiply
    6,860.74x = 9,468 × 4,206.62
  4. Step 4: Simplify right side
    6,860.74x = 39,828,278.16
  5. Step 5: Solve for x
    x = 39,828,278.16/6,860.74
  6. Step 6: Final answer
    x = 5,805.25

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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.