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Finding the Fourth Proportional to 15,600.16, 23,410 and 6,366.16

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Solution

The fourth proportional to 15,600.16, 23,410 and 6,366.16 is: 9,553.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,600.16 : 23,410 = 6,366.16 : x
  2. Step 2: Convert to fraction form
    15,600.16/23,410 = 6,366.16/x
  3. Step 3: Cross multiply
    15,600.16x = 23,410 × 6,366.16
  4. Step 4: Simplify right side
    15,600.16x = 149,031,805.60
  5. Step 5: Solve for x
    x = 149,031,805.60/15,600.16
  6. Step 6: Final answer
    x = 9,553.22

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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.