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Finding the Fourth Proportional to 6,646.06, 9,970.80 and 2,029.06

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Solution

The fourth proportional to 6,646.06, 9,970.80 and 2,029.06 is: 3,044.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.06 : 9,970.80 = 2,029.06 : x
  2. Step 2: Convert to fraction form
    6,646.06/9,970.80 = 2,029.06/x
  3. Step 3: Cross multiply
    6,646.06x = 9,970.80 × 2,029.06
  4. Step 4: Simplify right side
    6,646.06x = 20,231,351.45
  5. Step 5: Solve for x
    x = 20,231,351.45/6,646.06
  6. Step 6: Final answer
    x = 3,044.11

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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.