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Finding the Fourth Proportional to 6,647.68, 9,970.92 and 2,030.68

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Solution

The fourth proportional to 6,647.68, 9,970.92 and 2,030.68 is: 3,045.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.68 : 9,970.92 = 2,030.68 : x
  2. Step 2: Convert to fraction form
    6,647.68/9,970.92 = 2,030.68/x
  3. Step 3: Cross multiply
    6,647.68x = 9,970.92 × 2,030.68
  4. Step 4: Simplify right side
    6,647.68x = 20,247,747.83
  5. Step 5: Solve for x
    x = 20,247,747.83/6,647.68
  6. Step 6: Final answer
    x = 3,045.84

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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.