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Finding the Fourth Proportional to 12,267.38, 16,929 and 6,678.38

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Solution

The fourth proportional to 12,267.38, 16,929 and 6,678.38 is: 9,216.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,267.38 : 16,929 = 6,678.38 : x
  2. Step 2: Convert to fraction form
    12,267.38/16,929 = 6,678.38/x
  3. Step 3: Cross multiply
    12,267.38x = 16,929 × 6,678.38
  4. Step 4: Simplify right side
    12,267.38x = 113,058,210.38
  5. Step 5: Solve for x
    x = 113,058,210.38/12,267.38
  6. Step 6: Final answer
    x = 9,216.17

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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.