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Finding the Fourth Proportional to 15,702, 23,563.80 and 6,468

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Solution

The fourth proportional to 15,702, 23,563.80 and 6,468 is: 9,706.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,702 : 23,563.80 = 6,468 : x
  2. Step 2: Convert to fraction form
    15,702/23,563.80 = 6,468/x
  3. Step 3: Cross multiply
    15,702x = 23,563.80 × 6,468
  4. Step 4: Simplify right side
    15,702x = 152,410,658.40
  5. Step 5: Solve for x
    x = 152,410,658.40/15,702
  6. Step 6: Final answer
    x = 9,706.45

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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.