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Finding the Fourth Proportional to 6,148.54, 9,222.80 and 1,531.54

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Solution

The fourth proportional to 6,148.54, 9,222.80 and 1,531.54 is: 2,297.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,148.54 : 9,222.80 = 1,531.54 : x
  2. Step 2: Convert to fraction form
    6,148.54/9,222.80 = 1,531.54/x
  3. Step 3: Cross multiply
    6,148.54x = 9,222.80 × 1,531.54
  4. Step 4: Simplify right side
    6,148.54x = 14,125,087.11
  5. Step 5: Solve for x
    x = 14,125,087.11/6,148.54
  6. Step 6: Final answer
    x = 2,297.31

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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.