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Finding the Fourth Proportional to 4,609.36, 6,914.08 and 1,146.48

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Solution

The fourth proportional to 4,609.36, 6,914.08 and 1,146.48 is: 1,719.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.36 : 6,914.08 = 1,146.48 : x
  2. Step 2: Convert to fraction form
    4,609.36/6,914.08 = 1,146.48/x
  3. Step 3: Cross multiply
    4,609.36x = 6,914.08 × 1,146.48
  4. Step 4: Simplify right side
    4,609.36x = 7,926,854.44
  5. Step 5: Solve for x
    x = 7,926,854.44/4,609.36
  6. Step 6: Final answer
    x = 1,719.73

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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.