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Finding the Fourth Proportional to 10,657.50, 15,992.73 and 4,501.50

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Solution

The fourth proportional to 10,657.50, 15,992.73 and 4,501.50 is: 6,754.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.50 : 15,992.73 = 4,501.50 : x
  2. Step 2: Convert to fraction form
    10,657.50/15,992.73 = 4,501.50/x
  3. Step 3: Cross multiply
    10,657.50x = 15,992.73 × 4,501.50
  4. Step 4: Simplify right side
    10,657.50x = 71,991,274.10
  5. Step 5: Solve for x
    x = 71,991,274.10/10,657.50
  6. Step 6: Final answer
    x = 6,754.99

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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.