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Finding the Fourth Proportional to 12,466.76, 17,207.09 and 7,164.65

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Solution

The fourth proportional to 12,466.76, 17,207.09 and 7,164.65 is: 9,888.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,466.76 : 17,207.09 = 7,164.65 : x
  2. Step 2: Convert to fraction form
    12,466.76/17,207.09 = 7,164.65/x
  3. Step 3: Cross multiply
    12,466.76x = 17,207.09 × 7,164.65
  4. Step 4: Simplify right side
    12,466.76x = 123,282,784.56
  5. Step 5: Solve for x
    x = 123,282,784.56/12,466.76
  6. Step 6: Final answer
    x = 9,888.92

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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.