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Finding the Fourth Proportional to 12,343.30, 17,033.65 and 6,678.05

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Solution

The fourth proportional to 12,343.30, 17,033.65 and 6,678.05 is: 9,215.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,343.30 : 17,033.65 = 6,678.05 : x
  2. Step 2: Convert to fraction form
    12,343.30/17,033.65 = 6,678.05/x
  3. Step 3: Cross multiply
    12,343.30x = 17,033.65 × 6,678.05
  4. Step 4: Simplify right side
    12,343.30x = 113,751,464.52
  5. Step 5: Solve for x
    x = 113,751,464.52/12,343.30
  6. Step 6: Final answer
    x = 9,215.65

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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.