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Finding the Fourth Proportional to 22,338.87, 33,502.77 and 7,547.46

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Solution

The fourth proportional to 22,338.87, 33,502.77 and 7,547.46 is: 11,319.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,338.87 : 33,502.77 = 7,547.46 : x
  2. Step 2: Convert to fraction form
    22,338.87/33,502.77 = 7,547.46/x
  3. Step 3: Cross multiply
    22,338.87x = 33,502.77 × 7,547.46
  4. Step 4: Simplify right side
    22,338.87x = 252,860,816.46
  5. Step 5: Solve for x
    x = 252,860,816.46/22,338.87
  6. Step 6: Final answer
    x = 11,319.32

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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.