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Finding the Fourth Proportional to 8,993.52, 12,411 and 5,014.56

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Solution

The fourth proportional to 8,993.52, 12,411 and 5,014.56 is: 6,920.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,993.52 : 12,411 = 5,014.56 : x
  2. Step 2: Convert to fraction form
    8,993.52/12,411 = 5,014.56/x
  3. Step 3: Cross multiply
    8,993.52x = 12,411 × 5,014.56
  4. Step 4: Simplify right side
    8,993.52x = 62,235,704.16
  5. Step 5: Solve for x
    x = 62,235,704.16/8,993.52
  6. Step 6: Final answer
    x = 6,920.06

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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.