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Finding the Fourth Proportional to 6,046.40, 9,069.60 and 3,742.40

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Solution

The fourth proportional to 6,046.40, 9,069.60 and 3,742.40 is: 5,613.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046.40 : 9,069.60 = 3,742.40 : x
  2. Step 2: Convert to fraction form
    6,046.40/9,069.60 = 3,742.40/x
  3. Step 3: Cross multiply
    6,046.40x = 9,069.60 × 3,742.40
  4. Step 4: Simplify right side
    6,046.40x = 33,942,071.04
  5. Step 5: Solve for x
    x = 33,942,071.04/6,046.40
  6. Step 6: Final answer
    x = 5,613.60

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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.