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Finding the Fourth Proportional to 8,297.49, 12,447.45 and 3,032.76

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Solution

The fourth proportional to 8,297.49, 12,447.45 and 3,032.76 is: 4,549.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.49 : 12,447.45 = 3,032.76 : x
  2. Step 2: Convert to fraction form
    8,297.49/12,447.45 = 3,032.76/x
  3. Step 3: Cross multiply
    8,297.49x = 12,447.45 × 3,032.76
  4. Step 4: Simplify right side
    8,297.49x = 37,750,128.46
  5. Step 5: Solve for x
    x = 37,750,128.46/8,297.49
  6. Step 6: Final answer
    x = 4,549.58

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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.