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Finding the Fourth Proportional to 6,144.70, 9,211.65 and 5,488.60

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Solution

The fourth proportional to 6,144.70, 9,211.65 and 5,488.60 is: 8,228.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.70 : 9,211.65 = 5,488.60 : x
  2. Step 2: Convert to fraction form
    6,144.70/9,211.65 = 5,488.60/x
  3. Step 3: Cross multiply
    6,144.70x = 9,211.65 × 5,488.60
  4. Step 4: Simplify right side
    6,144.70x = 50,559,062.19
  5. Step 5: Solve for x
    x = 50,559,062.19/6,144.70
  6. Step 6: Final answer
    x = 8,228.08

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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.