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Finding the Fourth Proportional to 9,801.90, 14,696.12 and 3,227.12

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Solution

The fourth proportional to 9,801.90, 14,696.12 and 3,227.12 is: 4,838.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.90 : 14,696.12 = 3,227.12 : x
  2. Step 2: Convert to fraction form
    9,801.90/14,696.12 = 3,227.12/x
  3. Step 3: Cross multiply
    9,801.90x = 14,696.12 × 3,227.12
  4. Step 4: Simplify right side
    9,801.90x = 47,426,142.77
  5. Step 5: Solve for x
    x = 47,426,142.77/9,801.90
  6. Step 6: Final answer
    x = 4,838.46

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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.