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Finding the Fourth Proportional to 22,975.32, 34,460.82 and 9,838.20

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Solution

The fourth proportional to 22,975.32, 34,460.82 and 9,838.20 is: 14,756.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,975.32 : 34,460.82 = 9,838.20 : x
  2. Step 2: Convert to fraction form
    22,975.32/34,460.82 = 9,838.20/x
  3. Step 3: Cross multiply
    22,975.32x = 34,460.82 × 9,838.20
  4. Step 4: Simplify right side
    22,975.32x = 339,032,439.32
  5. Step 5: Solve for x
    x = 339,032,439.32/22,975.32
  6. Step 6: Final answer
    x = 14,756.38

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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.