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Finding the Fourth Proportional to 8,199.90, 11,300.85 and 5,957.85

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Solution

The fourth proportional to 8,199.90, 11,300.85 and 5,957.85 is: 8,210.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.90 : 11,300.85 = 5,957.85 : x
  2. Step 2: Convert to fraction form
    8,199.90/11,300.85 = 5,957.85/x
  3. Step 3: Cross multiply
    8,199.90x = 11,300.85 × 5,957.85
  4. Step 4: Simplify right side
    8,199.90x = 67,328,769.17
  5. Step 5: Solve for x
    x = 67,328,769.17/8,199.90
  6. Step 6: Final answer
    x = 8,210.93

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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.