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Finding the Fourth Proportional to 9,801.52, 14,702.25 and 3,958.06

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Solution

The fourth proportional to 9,801.52, 14,702.25 and 3,958.06 is: 5,937.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.52 : 14,702.25 = 3,958.06 : x
  2. Step 2: Convert to fraction form
    9,801.52/14,702.25 = 3,958.06/x
  3. Step 3: Cross multiply
    9,801.52x = 14,702.25 × 3,958.06
  4. Step 4: Simplify right side
    9,801.52x = 58,192,387.64
  5. Step 5: Solve for x
    x = 58,192,387.64/9,801.52
  6. Step 6: Final answer
    x = 5,937.08

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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.