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Finding the Fourth Proportional to 9,799.84, 14,685.36 and 7,724.92

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Solution

The fourth proportional to 9,799.84, 14,685.36 and 7,724.92 is: 11,576.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799.84 : 14,685.36 = 7,724.92 : x
  2. Step 2: Convert to fraction form
    9,799.84/14,685.36 = 7,724.92/x
  3. Step 3: Cross multiply
    9,799.84x = 14,685.36 × 7,724.92
  4. Step 4: Simplify right side
    9,799.84x = 113,443,231.17
  5. Step 5: Solve for x
    x = 113,443,231.17/9,799.84
  6. Step 6: Final answer
    x = 11,576.03

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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.