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Finding the Fourth Proportional to 6,706.08, 10,060.20 and 2,088

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Solution

The fourth proportional to 6,706.08, 10,060.20 and 2,088 is: 3,132.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.08 : 10,060.20 = 2,088 : x
  2. Step 2: Convert to fraction form
    6,706.08/10,060.20 = 2,088/x
  3. Step 3: Cross multiply
    6,706.08x = 10,060.20 × 2,088
  4. Step 4: Simplify right side
    6,706.08x = 21,005,697.60
  5. Step 5: Solve for x
    x = 21,005,697.60/6,706.08
  6. Step 6: Final answer
    x = 3,132.34

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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.