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Finding the Fourth Proportional to 19,937, 29,907.98 and 6,788.36

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Solution

The fourth proportional to 19,937, 29,907.98 and 6,788.36 is: 10,183.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,937 : 29,907.98 = 6,788.36 : x
  2. Step 2: Convert to fraction form
    19,937/29,907.98 = 6,788.36/x
  3. Step 3: Cross multiply
    19,937x = 29,907.98 × 6,788.36
  4. Step 4: Simplify right side
    19,937x = 203,026,135.11
  5. Step 5: Solve for x
    x = 203,026,135.11/19,937
  6. Step 6: Final answer
    x = 10,183.38

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1.5x scale

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.