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Finding the Fourth Proportional to 10,679.66, 14,713.95 and 7,446.48

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Solution

The fourth proportional to 10,679.66, 14,713.95 and 7,446.48 is: 10,259.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,679.66 : 14,713.95 = 7,446.48 : x
  2. Step 2: Convert to fraction form
    10,679.66/14,713.95 = 7,446.48/x
  3. Step 3: Cross multiply
    10,679.66x = 14,713.95 × 7,446.48
  4. Step 4: Simplify right side
    10,679.66x = 109,567,134.40
  5. Step 5: Solve for x
    x = 109,567,134.40/10,679.66
  6. Step 6: Final answer
    x = 10,259.42

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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.