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Finding the Fourth Proportional to 15,835, 23,756.34 and 4,891

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Solution

The fourth proportional to 15,835, 23,756.34 and 4,891 is: 7,337.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,835 : 23,756.34 = 4,891 : x
  2. Step 2: Convert to fraction form
    15,835/23,756.34 = 4,891/x
  3. Step 3: Cross multiply
    15,835x = 23,756.34 × 4,891
  4. Step 4: Simplify right side
    15,835x = 116,192,258.94
  5. Step 5: Solve for x
    x = 116,192,258.94/15,835
  6. Step 6: Final answer
    x = 7,337.69

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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.