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Finding the Fourth Proportional to 15,742, 23,613 and 4,798

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Solution

The fourth proportional to 15,742, 23,613 and 4,798 is: 7,197

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,742 : 23,613 = 4,798 : x
  2. Step 2: Convert to fraction form
    15,742/23,613 = 4,798/x
  3. Step 3: Cross multiply
    15,742x = 23,613 × 4,798
  4. Step 4: Simplify right side
    15,742x = 113,295,174
  5. Step 5: Solve for x
    x = 113,295,174/15,742
  6. Step 6: Final answer
    x = 7,197

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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.