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Finding the Fourth Proportional to 15,236.34, 22,855 and 5,240.98

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Solution

The fourth proportional to 15,236.34, 22,855 and 5,240.98 is: 7,861.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,236.34 : 22,855 = 5,240.98 : x
  2. Step 2: Convert to fraction form
    15,236.34/22,855 = 5,240.98/x
  3. Step 3: Cross multiply
    15,236.34x = 22,855 × 5,240.98
  4. Step 4: Simplify right side
    15,236.34x = 119,782,597.90
  5. Step 5: Solve for x
    x = 119,782,597.90/15,236.34
  6. Step 6: Final answer
    x = 7,861.64

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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.