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Finding the Fourth Proportional to 22,547.53, 33,811.68 and 7,757.95

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Solution

The fourth proportional to 22,547.53, 33,811.68 and 7,757.95 is: 11,633.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,547.53 : 33,811.68 = 7,757.95 : x
  2. Step 2: Convert to fraction form
    22,547.53/33,811.68 = 7,757.95/x
  3. Step 3: Cross multiply
    22,547.53x = 33,811.68 × 7,757.95
  4. Step 4: Simplify right side
    22,547.53x = 262,309,322.86
  5. Step 5: Solve for x
    x = 262,309,322.86/22,547.53
  6. Step 6: Final answer
    x = 11,633.62

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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.