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Finding the Fourth Proportional to 8,133.65, 12,202.85 and 2,798.16

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Solution

The fourth proportional to 8,133.65, 12,202.85 and 2,798.16 is: 4,198.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,133.65 : 12,202.85 = 2,798.16 : x
  2. Step 2: Convert to fraction form
    8,133.65/12,202.85 = 2,798.16/x
  3. Step 3: Cross multiply
    8,133.65x = 12,202.85 × 2,798.16
  4. Step 4: Simplify right side
    8,133.65x = 34,145,526.76
  5. Step 5: Solve for x
    x = 34,145,526.76/8,133.65
  6. Step 6: Final answer
    x = 4,198.06

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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.