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Finding the Fourth Proportional to 15,733, 23,599.50 and 6,499.24

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Solution

The fourth proportional to 15,733, 23,599.50 and 6,499.24 is: 9,748.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,733 : 23,599.50 = 6,499.24 : x
  2. Step 2: Convert to fraction form
    15,733/23,599.50 = 6,499.24/x
  3. Step 3: Cross multiply
    15,733x = 23,599.50 × 6,499.24
  4. Step 4: Simplify right side
    15,733x = 153,378,814.38
  5. Step 5: Solve for x
    x = 153,378,814.38/15,733
  6. Step 6: Final answer
    x = 9,748.86

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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.