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Finding the Fourth Proportional to 6,277.52, 9,398.97 and 4,194.65

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Solution

The fourth proportional to 6,277.52, 9,398.97 and 4,194.65 is: 6,280.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.52 : 9,398.97 = 4,194.65 : x
  2. Step 2: Convert to fraction form
    6,277.52/9,398.97 = 4,194.65/x
  3. Step 3: Cross multiply
    6,277.52x = 9,398.97 × 4,194.65
  4. Step 4: Simplify right side
    6,277.52x = 39,425,389.51
  5. Step 5: Solve for x
    x = 39,425,389.51/6,277.52
  6. Step 6: Final answer
    x = 6,280.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.