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Finding the Fourth Proportional to 22,151.40, 33,214.74 and 7,356.34

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Solution

The fourth proportional to 22,151.40, 33,214.74 and 7,356.34 is: 11,030.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,151.40 : 33,214.74 = 7,356.34 : x
  2. Step 2: Convert to fraction form
    22,151.40/33,214.74 = 7,356.34/x
  3. Step 3: Cross multiply
    22,151.40x = 33,214.74 × 7,356.34
  4. Step 4: Simplify right side
    22,151.40x = 244,338,920.45
  5. Step 5: Solve for x
    x = 244,338,920.45/22,151.40
  6. Step 6: Final answer
    x = 11,030.41

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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.