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Finding the Fourth Proportional to 15,833, 23,749.50 and 6,599

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Solution

The fourth proportional to 15,833, 23,749.50 and 6,599 is: 9,898.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,833 : 23,749.50 = 6,599 : x
  2. Step 2: Convert to fraction form
    15,833/23,749.50 = 6,599/x
  3. Step 3: Cross multiply
    15,833x = 23,749.50 × 6,599
  4. Step 4: Simplify right side
    15,833x = 156,722,950.50
  5. Step 5: Solve for x
    x = 156,722,950.50/15,833
  6. Step 6: Final answer
    x = 9,898.50

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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.