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Finding the Fourth Proportional to 6,646.76, 9,969.52 and 2,029.76

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Solution

The fourth proportional to 6,646.76, 9,969.52 and 2,029.76 is: 3,044.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.76 : 9,969.52 = 2,029.76 : x
  2. Step 2: Convert to fraction form
    6,646.76/9,969.52 = 2,029.76/x
  3. Step 3: Cross multiply
    6,646.76x = 9,969.52 × 2,029.76
  4. Step 4: Simplify right side
    6,646.76x = 20,235,732.92
  5. Step 5: Solve for x
    x = 20,235,732.92/6,646.76
  6. Step 6: Final answer
    x = 3,044.45

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1.5x scale

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.