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Finding the Fourth Proportional to 6,452.48, 9,676.62 and 3,983.60

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Solution

The fourth proportional to 6,452.48, 9,676.62 and 3,983.60 is: 5,974.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.48 : 9,676.62 = 3,983.60 : x
  2. Step 2: Convert to fraction form
    6,452.48/9,676.62 = 3,983.60/x
  3. Step 3: Cross multiply
    6,452.48x = 9,676.62 × 3,983.60
  4. Step 4: Simplify right side
    6,452.48x = 38,547,783.43
  5. Step 5: Solve for x
    x = 38,547,783.43/6,452.48
  6. Step 6: Final answer
    x = 5,974.10

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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.