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Finding the Fourth Proportional to 10,657, 15,991.98 and 4,501

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Solution

The fourth proportional to 10,657, 15,991.98 and 4,501 is: 6,754.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657 : 15,991.98 = 4,501 : x
  2. Step 2: Convert to fraction form
    10,657/15,991.98 = 4,501/x
  3. Step 3: Cross multiply
    10,657x = 15,991.98 × 4,501
  4. Step 4: Simplify right side
    10,657x = 71,979,901.98
  5. Step 5: Solve for x
    x = 71,979,901.98/10,657
  6. Step 6: Final answer
    x = 6,754.24

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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.