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Finding the Fourth Proportional to 39,730, 59,595 and 10,546

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Solution

The fourth proportional to 39,730, 59,595 and 10,546 is: 15,819

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,730 : 59,595 = 10,546 : x
  2. Step 2: Convert to fraction form
    39,730/59,595 = 10,546/x
  3. Step 3: Cross multiply
    39,730x = 59,595 × 10,546
  4. Step 4: Simplify right side
    39,730x = 628,488,870
  5. Step 5: Solve for x
    x = 628,488,870/39,730
  6. Step 6: Final answer
    x = 15,819

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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.