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Finding the Fourth Proportional to 12,534.42, 17,297.68 and 6,869.08

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Solution

The fourth proportional to 12,534.42, 17,297.68 and 6,869.08 is: 9,479.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534.42 : 17,297.68 = 6,869.08 : x
  2. Step 2: Convert to fraction form
    12,534.42/17,297.68 = 6,869.08/x
  3. Step 3: Cross multiply
    12,534.42x = 17,297.68 × 6,869.08
  4. Step 4: Simplify right side
    12,534.42x = 118,819,147.73
  5. Step 5: Solve for x
    x = 118,819,147.73/12,534.42
  6. Step 6: Final answer
    x = 9,479.43

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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.