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Finding the Fourth Proportional to 22,605.18, 33,913.10 and 7,814.22

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Solution

The fourth proportional to 22,605.18, 33,913.10 and 7,814.22 is: 11,723.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,605.18 : 33,913.10 = 7,814.22 : x
  2. Step 2: Convert to fraction form
    22,605.18/33,913.10 = 7,814.22/x
  3. Step 3: Cross multiply
    22,605.18x = 33,913.10 × 7,814.22
  4. Step 4: Simplify right side
    22,605.18x = 265,004,424.28
  5. Step 5: Solve for x
    x = 265,004,424.28/22,605.18
  6. Step 6: Final answer
    x = 11,723.17

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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.