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Finding the Fourth Proportional to 9,069.84, 13,602.88 and 2,494.24

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Solution

The fourth proportional to 9,069.84, 13,602.88 and 2,494.24 is: 3,740.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,069.84 : 13,602.88 = 2,494.24 : x
  2. Step 2: Convert to fraction form
    9,069.84/13,602.88 = 2,494.24/x
  3. Step 3: Cross multiply
    9,069.84x = 13,602.88 × 2,494.24
  4. Step 4: Simplify right side
    9,069.84x = 33,928,847.41
  5. Step 5: Solve for x
    x = 33,928,847.41/9,069.84
  6. Step 6: Final answer
    x = 3,740.84

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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.