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Finding the Fourth Proportional to 22,984.86, 34,478.22 and 10,505.58

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Solution

The fourth proportional to 22,984.86, 34,478.22 and 10,505.58 is: 15,758.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,984.86 : 34,478.22 = 10,505.58 : x
  2. Step 2: Convert to fraction form
    22,984.86/34,478.22 = 10,505.58/x
  3. Step 3: Cross multiply
    22,984.86x = 34,478.22 × 10,505.58
  4. Step 4: Simplify right side
    22,984.86x = 362,213,698.47
  5. Step 5: Solve for x
    x = 362,213,698.47/22,984.86
  6. Step 6: Final answer
    x = 15,758.80

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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.