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Finding the Fourth Proportional to 6,148.03, 9,222.05 and 1,531.03

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Solution

The fourth proportional to 6,148.03, 9,222.05 and 1,531.03 is: 2,296.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,148.03 : 9,222.05 = 1,531.03 : x
  2. Step 2: Convert to fraction form
    6,148.03/9,222.05 = 1,531.03/x
  3. Step 3: Cross multiply
    6,148.03x = 9,222.05 × 1,531.03
  4. Step 4: Simplify right side
    6,148.03x = 14,119,235.21
  5. Step 5: Solve for x
    x = 14,119,235.21/6,148.03
  6. Step 6: Final answer
    x = 2,296.55

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Similar ratio
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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.