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Finding the Fourth Proportional to 4,415.36, 6,624 and 1,493.76

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Solution

The fourth proportional to 4,415.36, 6,624 and 1,493.76 is: 2,240.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,415.36 : 6,624 = 1,493.76 : x
  2. Step 2: Convert to fraction form
    4,415.36/6,624 = 1,493.76/x
  3. Step 3: Cross multiply
    4,415.36x = 6,624 × 1,493.76
  4. Step 4: Simplify right side
    4,415.36x = 9,894,666.24
  5. Step 5: Solve for x
    x = 9,894,666.24/4,415.36
  6. Step 6: Final answer
    x = 2,240.96

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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.