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Finding the Fourth Proportional to 6,211.24, 8,563.62 and 4,531.24

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Solution

The fourth proportional to 6,211.24, 8,563.62 and 4,531.24 is: 6,247.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.24 : 8,563.62 = 4,531.24 : x
  2. Step 2: Convert to fraction form
    6,211.24/8,563.62 = 4,531.24/x
  3. Step 3: Cross multiply
    6,211.24x = 8,563.62 × 4,531.24
  4. Step 4: Simplify right side
    6,211.24x = 38,803,817.49
  5. Step 5: Solve for x
    x = 38,803,817.49/6,211.24
  6. Step 6: Final answer
    x = 6,247.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.