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Finding the Fourth Proportional to 10,797.48, 16,202.42 and 4,557

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Solution

The fourth proportional to 10,797.48, 16,202.42 and 4,557 is: 6,838.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,797.48 : 16,202.42 = 4,557 : x
  2. Step 2: Convert to fraction form
    10,797.48/16,202.42 = 4,557/x
  3. Step 3: Cross multiply
    10,797.48x = 16,202.42 × 4,557
  4. Step 4: Simplify right side
    10,797.48x = 73,834,427.94
  5. Step 5: Solve for x
    x = 73,834,427.94/10,797.48
  6. Step 6: Final answer
    x = 6,838.12

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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.