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Finding the Fourth Proportional to 8,297.34, 12,447.90 and 2,454

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Solution

The fourth proportional to 8,297.34, 12,447.90 and 2,454 is: 3,681.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.34 : 12,447.90 = 2,454 : x
  2. Step 2: Convert to fraction form
    8,297.34/12,447.90 = 2,454/x
  3. Step 3: Cross multiply
    8,297.34x = 12,447.90 × 2,454
  4. Step 4: Simplify right side
    8,297.34x = 30,547,146.60
  5. Step 5: Solve for x
    x = 30,547,146.60/8,297.34
  6. Step 6: Final answer
    x = 3,681.56

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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.