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Finding the Fourth Proportional to 10,658.94, 14,713.74 and 6,679.14

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Solution

The fourth proportional to 10,658.94, 14,713.74 and 6,679.14 is: 9,219.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.94 : 14,713.74 = 6,679.14 : x
  2. Step 2: Convert to fraction form
    10,658.94/14,713.74 = 6,679.14/x
  3. Step 3: Cross multiply
    10,658.94x = 14,713.74 × 6,679.14
  4. Step 4: Simplify right side
    10,658.94x = 98,275,129.38
  5. Step 5: Solve for x
    x = 98,275,129.38/10,658.94
  6. Step 6: Final answer
    x = 9,219.97

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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.