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Finding the Fourth Proportional to 9,801.40, 13,524.68 and 5,821.68

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Solution

The fourth proportional to 9,801.40, 13,524.68 and 5,821.68 is: 8,033.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.40 : 13,524.68 = 5,821.68 : x
  2. Step 2: Convert to fraction form
    9,801.40/13,524.68 = 5,821.68/x
  3. Step 3: Cross multiply
    9,801.40x = 13,524.68 × 5,821.68
  4. Step 4: Simplify right side
    9,801.40x = 78,736,359.06
  5. Step 5: Solve for x
    x = 78,736,359.06/9,801.40
  6. Step 6: Final answer
    x = 8,033.17

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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.