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Finding the Fourth Proportional to 12,652.66, 17,460.69 and 6,910.11

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Solution

The fourth proportional to 12,652.66, 17,460.69 and 6,910.11 is: 9,535.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,652.66 : 17,460.69 = 6,910.11 : x
  2. Step 2: Convert to fraction form
    12,652.66/17,460.69 = 6,910.11/x
  3. Step 3: Cross multiply
    12,652.66x = 17,460.69 × 6,910.11
  4. Step 4: Simplify right side
    12,652.66x = 120,655,282.10
  5. Step 5: Solve for x
    x = 120,655,282.10/12,652.66
  6. Step 6: Final answer
    x = 9,535.97

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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.