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Finding the Fourth Proportional to 4,742, 7,113 and 1,664

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Solution

The fourth proportional to 4,742, 7,113 and 1,664 is: 2,496

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742 : 7,113 = 1,664 : x
  2. Step 2: Convert to fraction form
    4,742/7,113 = 1,664/x
  3. Step 3: Cross multiply
    4,742x = 7,113 × 1,664
  4. Step 4: Simplify right side
    4,742x = 11,836,032
  5. Step 5: Solve for x
    x = 11,836,032/4,742
  6. Step 6: Final answer
    x = 2,496

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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.