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Finding the Fourth Proportional to 10,726.14, 14,797.07 and 6,749.45

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Solution

The fourth proportional to 10,726.14, 14,797.07 and 6,749.45 is: 9,311.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726.14 : 14,797.07 = 6,749.45 : x
  2. Step 2: Convert to fraction form
    10,726.14/14,797.07 = 6,749.45/x
  3. Step 3: Cross multiply
    10,726.14x = 14,797.07 × 6,749.45
  4. Step 4: Simplify right side
    10,726.14x = 99,872,010.13
  5. Step 5: Solve for x
    x = 99,872,010.13/10,726.14
  6. Step 6: Final answer
    x = 9,311.09

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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.