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Finding the Fourth Proportional to 6,458.69, 9,672.65 and 4,486.29

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Solution

The fourth proportional to 6,458.69, 9,672.65 and 4,486.29 is: 6,718.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.69 : 9,672.65 = 4,486.29 : x
  2. Step 2: Convert to fraction form
    6,458.69/9,672.65 = 4,486.29/x
  3. Step 3: Cross multiply
    6,458.69x = 9,672.65 × 4,486.29
  4. Step 4: Simplify right side
    6,458.69x = 43,394,290.54
  5. Step 5: Solve for x
    x = 43,394,290.54/6,458.69
  6. Step 6: Final answer
    x = 6,718.75

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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.