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Finding the Fourth Proportional to 4,609.26, 6,913.90 and 1,146.50

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Solution

The fourth proportional to 4,609.26, 6,913.90 and 1,146.50 is: 1,719.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.26 : 6,913.90 = 1,146.50 : x
  2. Step 2: Convert to fraction form
    4,609.26/6,913.90 = 1,146.50/x
  3. Step 3: Cross multiply
    4,609.26x = 6,913.90 × 1,146.50
  4. Step 4: Simplify right side
    4,609.26x = 7,926,786.35
  5. Step 5: Solve for x
    x = 7,926,786.35/4,609.26
  6. Step 6: Final answer
    x = 1,719.75

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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.