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Finding the Fourth Proportional to 8,699.70, 12,006.83 and 5,724.17

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Solution

The fourth proportional to 8,699.70, 12,006.83 and 5,724.17 is: 7,900.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,699.70 : 12,006.83 = 5,724.17 : x
  2. Step 2: Convert to fraction form
    8,699.70/12,006.83 = 5,724.17/x
  3. Step 3: Cross multiply
    8,699.70x = 12,006.83 × 5,724.17
  4. Step 4: Simplify right side
    8,699.70x = 68,729,047.43
  5. Step 5: Solve for x
    x = 68,729,047.43/8,699.70
  6. Step 6: Final answer
    x = 7,900.16

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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.