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Finding the Fourth Proportional to 10,018, 13,824.84 and 5,602

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Solution

The fourth proportional to 10,018, 13,824.84 and 5,602 is: 7,730.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,018 : 13,824.84 = 5,602 : x
  2. Step 2: Convert to fraction form
    10,018/13,824.84 = 5,602/x
  3. Step 3: Cross multiply
    10,018x = 13,824.84 × 5,602
  4. Step 4: Simplify right side
    10,018x = 77,446,753.68
  5. Step 5: Solve for x
    x = 77,446,753.68/10,018
  6. Step 6: Final answer
    x = 7,730.76

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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.