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Finding the Fourth Proportional to 8,535.75, 12,807.03 and 2,993.06

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Solution

The fourth proportional to 8,535.75, 12,807.03 and 2,993.06 is: 4,490.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.75 : 12,807.03 = 2,993.06 : x
  2. Step 2: Convert to fraction form
    8,535.75/12,807.03 = 2,993.06/x
  3. Step 3: Cross multiply
    8,535.75x = 12,807.03 × 2,993.06
  4. Step 4: Simplify right side
    8,535.75x = 38,332,209.21
  5. Step 5: Solve for x
    x = 38,332,209.21/8,535.75
  6. Step 6: Final answer
    x = 4,490.78

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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.