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Finding the Fourth Proportional to 9,801.65, 13,530.98 and 6,974.96

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Solution

The fourth proportional to 9,801.65, 13,530.98 and 6,974.96 is: 9,628.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.65 : 13,530.98 = 6,974.96 : x
  2. Step 2: Convert to fraction form
    9,801.65/13,530.98 = 6,974.96/x
  3. Step 3: Cross multiply
    9,801.65x = 13,530.98 × 6,974.96
  4. Step 4: Simplify right side
    9,801.65x = 94,377,994.04
  5. Step 5: Solve for x
    x = 94,377,994.04/9,801.65
  6. Step 6: Final answer
    x = 9,628.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.