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Finding the Fourth Proportional to 8,774.69, 13,144.57 and 8,057.07

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Solution

The fourth proportional to 8,774.69, 13,144.57 and 8,057.07 is: 12,069.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,774.69 : 13,144.57 = 8,057.07 : x
  2. Step 2: Convert to fraction form
    8,774.69/13,144.57 = 8,057.07/x
  3. Step 3: Cross multiply
    8,774.69x = 13,144.57 × 8,057.07
  4. Step 4: Simplify right side
    8,774.69x = 105,906,700.47
  5. Step 5: Solve for x
    x = 105,906,700.47/8,774.69
  6. Step 6: Final answer
    x = 12,069.57

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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.