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Finding the Fourth Proportional to 12,179.25, 16,807.41 and 6,590.25

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Solution

The fourth proportional to 12,179.25, 16,807.41 and 6,590.25 is: 9,094.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,179.25 : 16,807.41 = 6,590.25 : x
  2. Step 2: Convert to fraction form
    12,179.25/16,807.41 = 6,590.25/x
  3. Step 3: Cross multiply
    12,179.25x = 16,807.41 × 6,590.25
  4. Step 4: Simplify right side
    12,179.25x = 110,765,033.75
  5. Step 5: Solve for x
    x = 110,765,033.75/12,179.25
  6. Step 6: Final answer
    x = 9,094.57

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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.