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Finding the Fourth Proportional to 12,407.65, 17,122.62 and 6,742.44

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Solution

The fourth proportional to 12,407.65, 17,122.62 and 6,742.44 is: 9,304.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407.65 : 17,122.62 = 6,742.44 : x
  2. Step 2: Convert to fraction form
    12,407.65/17,122.62 = 6,742.44/x
  3. Step 3: Cross multiply
    12,407.65x = 17,122.62 × 6,742.44
  4. Step 4: Simplify right side
    12,407.65x = 115,448,237.99
  5. Step 5: Solve for x
    x = 115,448,237.99/12,407.65
  6. Step 6: Final answer
    x = 9,304.60

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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.