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Finding the Fourth Proportional to 10,717.22, 16,053.42 and 6,802.22

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Solution

The fourth proportional to 10,717.22, 16,053.42 and 6,802.22 is: 10,189.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,717.22 : 16,053.42 = 6,802.22 : x
  2. Step 2: Convert to fraction form
    10,717.22/16,053.42 = 6,802.22/x
  3. Step 3: Cross multiply
    10,717.22x = 16,053.42 × 6,802.22
  4. Step 4: Simplify right side
    10,717.22x = 109,198,894.59
  5. Step 5: Solve for x
    x = 109,198,894.59/10,717.22
  6. Step 6: Final answer
    x = 10,189.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.