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Finding the Fourth Proportional to 10,244, 15,366.40 and 4,396.56

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Solution

The fourth proportional to 10,244, 15,366.40 and 4,396.56 is: 6,595.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,244 : 15,366.40 = 4,396.56 : x
  2. Step 2: Convert to fraction form
    10,244/15,366.40 = 4,396.56/x
  3. Step 3: Cross multiply
    10,244x = 15,366.40 × 4,396.56
  4. Step 4: Simplify right side
    10,244x = 67,559,299.58
  5. Step 5: Solve for x
    x = 67,559,299.58/10,244
  6. Step 6: Final answer
    x = 6,595.01

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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.