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Finding the Fourth Proportional to 6,148.69, 9,223.07 and 1,531.69

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Solution

The fourth proportional to 6,148.69, 9,223.07 and 1,531.69 is: 2,297.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,148.69 : 9,223.07 = 1,531.69 : x
  2. Step 2: Convert to fraction form
    6,148.69/9,223.07 = 1,531.69/x
  3. Step 3: Cross multiply
    6,148.69x = 9,223.07 × 1,531.69
  4. Step 4: Simplify right side
    6,148.69x = 14,126,884.09
  5. Step 5: Solve for x
    x = 14,126,884.09/6,148.69
  6. Step 6: Final answer
    x = 2,297.54

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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.