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Finding the Fourth Proportional to 7,069.75, 10,606.00 and 2,686.87

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Solution

The fourth proportional to 7,069.75, 10,606.00 and 2,686.87 is: 4,030.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,069.75 : 10,606.00 = 2,686.87 : x
  2. Step 2: Convert to fraction form
    7,069.75/10,606.00 = 2,686.87/x
  3. Step 3: Cross multiply
    7,069.75x = 10,606.00 × 2,686.87
  4. Step 4: Simplify right side
    7,069.75x = 28,496,928.65
  5. Step 5: Solve for x
    x = 28,496,928.65/7,069.75
  6. Step 6: Final answer
    x = 4,030.82

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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.