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Finding the Fourth Proportional to 9,825.40, 13,535.99 and 6,836.09

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Solution

The fourth proportional to 9,825.40, 13,535.99 and 6,836.09 is: 9,417.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.40 : 13,535.99 = 6,836.09 : x
  2. Step 2: Convert to fraction form
    9,825.40/13,535.99 = 6,836.09/x
  3. Step 3: Cross multiply
    9,825.40x = 13,535.99 × 6,836.09
  4. Step 4: Simplify right side
    9,825.40x = 92,533,245.88
  5. Step 5: Solve for x
    x = 92,533,245.88/9,825.40
  6. Step 6: Final answer
    x = 9,417.76

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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.