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Finding the Fourth Proportional to 10,452.67, 15,673.81 and 3,788.90

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Solution

The fourth proportional to 10,452.67, 15,673.81 and 3,788.90 is: 5,681.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.67 : 15,673.81 = 3,788.90 : x
  2. Step 2: Convert to fraction form
    10,452.67/15,673.81 = 3,788.90/x
  3. Step 3: Cross multiply
    10,452.67x = 15,673.81 × 3,788.90
  4. Step 4: Simplify right side
    10,452.67x = 59,386,469.64
  5. Step 5: Solve for x
    x = 59,386,469.64/10,452.67
  6. Step 6: Final answer
    x = 5,681.47

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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.