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Finding the Fourth Proportional to 12,616.68, 17,412.10 and 6,952.34

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Solution

The fourth proportional to 12,616.68, 17,412.10 and 6,952.34 is: 9,594.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,616.68 : 17,412.10 = 6,952.34 : x
  2. Step 2: Convert to fraction form
    12,616.68/17,412.10 = 6,952.34/x
  3. Step 3: Cross multiply
    12,616.68x = 17,412.10 × 6,952.34
  4. Step 4: Simplify right side
    12,616.68x = 121,054,839.31
  5. Step 5: Solve for x
    x = 121,054,839.31/12,616.68
  6. Step 6: Final answer
    x = 9,594.83

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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.