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Finding the Fourth Proportional to 8,993.78, 12,407.82 and 5,455.70

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Solution

The fourth proportional to 8,993.78, 12,407.82 and 5,455.70 is: 7,526.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,993.78 : 12,407.82 = 5,455.70 : x
  2. Step 2: Convert to fraction form
    8,993.78/12,407.82 = 5,455.70/x
  3. Step 3: Cross multiply
    8,993.78x = 12,407.82 × 5,455.70
  4. Step 4: Simplify right side
    8,993.78x = 67,693,343.57
  5. Step 5: Solve for x
    x = 67,693,343.57/8,993.78
  6. Step 6: Final answer
    x = 7,526.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.