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Finding the Fourth Proportional to 19,338, 29,007 and 4,746

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Solution

The fourth proportional to 19,338, 29,007 and 4,746 is: 7,119

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,338 : 29,007 = 4,746 : x
  2. Step 2: Convert to fraction form
    19,338/29,007 = 4,746/x
  3. Step 3: Cross multiply
    19,338x = 29,007 × 4,746
  4. Step 4: Simplify right side
    19,338x = 137,667,222
  5. Step 5: Solve for x
    x = 137,667,222/19,338
  6. Step 6: Final answer
    x = 7,119

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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.