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Finding the Fourth Proportional to 10,288.50, 14,201.37 and 6,562.50

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Solution

The fourth proportional to 10,288.50, 14,201.37 and 6,562.50 is: 9,058.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,288.50 : 14,201.37 = 6,562.50 : x
  2. Step 2: Convert to fraction form
    10,288.50/14,201.37 = 6,562.50/x
  3. Step 3: Cross multiply
    10,288.50x = 14,201.37 × 6,562.50
  4. Step 4: Simplify right side
    10,288.50x = 93,196,490.63
  5. Step 5: Solve for x
    x = 93,196,490.63/10,288.50
  6. Step 6: Final answer
    x = 9,058.32

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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.