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Finding the Fourth Proportional to 22,977.94, 34,468.80 and 9,830.44

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Solution

The fourth proportional to 22,977.94, 34,468.80 and 9,830.44 is: 14,746.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,977.94 : 34,468.80 = 9,830.44 : x
  2. Step 2: Convert to fraction form
    22,977.94/34,468.80 = 9,830.44/x
  3. Step 3: Cross multiply
    22,977.94x = 34,468.80 × 9,830.44
  4. Step 4: Simplify right side
    22,977.94x = 338,843,470.27
  5. Step 5: Solve for x
    x = 338,843,470.27/22,977.94
  6. Step 6: Final answer
    x = 14,746.47

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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.