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Finding the Fourth Proportional to 10,834.70, 14,937.06 and 6,853.82

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Solution

The fourth proportional to 10,834.70, 14,937.06 and 6,853.82 is: 9,448.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,834.70 : 14,937.06 = 6,853.82 : x
  2. Step 2: Convert to fraction form
    10,834.70/14,937.06 = 6,853.82/x
  3. Step 3: Cross multiply
    10,834.70x = 14,937.06 × 6,853.82
  4. Step 4: Simplify right side
    10,834.70x = 102,375,920.57
  5. Step 5: Solve for x
    x = 102,375,920.57/10,834.70
  6. Step 6: Final answer
    x = 9,448.89

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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.