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Finding the Fourth Proportional to 12,206.47, 16,844.94 and 6,617.47

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Solution

The fourth proportional to 12,206.47, 16,844.94 and 6,617.47 is: 9,132.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.47 : 16,844.94 = 6,617.47 : x
  2. Step 2: Convert to fraction form
    12,206.47/16,844.94 = 6,617.47/x
  3. Step 3: Cross multiply
    12,206.47x = 16,844.94 × 6,617.47
  4. Step 4: Simplify right side
    12,206.47x = 111,470,885.10
  5. Step 5: Solve for x
    x = 111,470,885.10/12,206.47
  6. Step 6: Final answer
    x = 9,132.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.