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Finding the Fourth Proportional to 22,853.88, 34,283.52 and 9,698.94

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Solution

The fourth proportional to 22,853.88, 34,283.52 and 9,698.94 is: 14,549.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,853.88 : 34,283.52 = 9,698.94 : x
  2. Step 2: Convert to fraction form
    22,853.88/34,283.52 = 9,698.94/x
  3. Step 3: Cross multiply
    22,853.88x = 34,283.52 × 9,698.94
  4. Step 4: Simplify right side
    22,853.88x = 332,513,803.47
  5. Step 5: Solve for x
    x = 332,513,803.47/22,853.88
  6. Step 6: Final answer
    x = 14,549.56

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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.