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Finding the Fourth Proportional to 6,814.50, 10,162.11 and 6,752.22

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Solution

The fourth proportional to 6,814.50, 10,162.11 and 6,752.22 is: 10,069.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.50 : 10,162.11 = 6,752.22 : x
  2. Step 2: Convert to fraction form
    6,814.50/10,162.11 = 6,752.22/x
  3. Step 3: Cross multiply
    6,814.50x = 10,162.11 × 6,752.22
  4. Step 4: Simplify right side
    6,814.50x = 68,616,802.38
  5. Step 5: Solve for x
    x = 68,616,802.38/6,814.50
  6. Step 6: Final answer
    x = 10,069.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.