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Finding the Fourth Proportional to 9,435, 14,150.28 and 3,882.84

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Solution

The fourth proportional to 9,435, 14,150.28 and 3,882.84 is: 5,823.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,435 : 14,150.28 = 3,882.84 : x
  2. Step 2: Convert to fraction form
    9,435/14,150.28 = 3,882.84/x
  3. Step 3: Cross multiply
    9,435x = 14,150.28 × 3,882.84
  4. Step 4: Simplify right side
    9,435x = 54,943,273.20
  5. Step 5: Solve for x
    x = 54,943,273.20/9,435
  6. Step 6: Final answer
    x = 5,823.35

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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.