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Finding the Fourth Proportional to 10,802.97, 14,908.10 and 5,834.97

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Solution

The fourth proportional to 10,802.97, 14,908.10 and 5,834.97 is: 8,052.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.97 : 14,908.10 = 5,834.97 : x
  2. Step 2: Convert to fraction form
    10,802.97/14,908.10 = 5,834.97/x
  3. Step 3: Cross multiply
    10,802.97x = 14,908.10 × 5,834.97
  4. Step 4: Simplify right side
    10,802.97x = 86,988,316.26
  5. Step 5: Solve for x
    x = 86,988,316.26/10,802.97
  6. Step 6: Final answer
    x = 8,052.26

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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.