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Finding the Fourth Proportional to 19,978.10, 29,967.16 and 6,830.58

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Solution

The fourth proportional to 19,978.10, 29,967.16 and 6,830.58 is: 10,245.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,978.10 : 29,967.16 = 6,830.58 : x
  2. Step 2: Convert to fraction form
    19,978.10/29,967.16 = 6,830.58/x
  3. Step 3: Cross multiply
    19,978.10x = 29,967.16 × 6,830.58
  4. Step 4: Simplify right side
    19,978.10x = 204,693,083.75
  5. Step 5: Solve for x
    x = 204,693,083.75/19,978.10
  6. Step 6: Final answer
    x = 10,245.87

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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.