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Finding the Fourth Proportional to 12,830.17, 19,247.10 and 4,062.10

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Solution

The fourth proportional to 12,830.17, 19,247.10 and 4,062.10 is: 6,093.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.17 : 19,247.10 = 4,062.10 : x
  2. Step 2: Convert to fraction form
    12,830.17/19,247.10 = 4,062.10/x
  3. Step 3: Cross multiply
    12,830.17x = 19,247.10 × 4,062.10
  4. Step 4: Simplify right side
    12,830.17x = 78,183,644.91
  5. Step 5: Solve for x
    x = 78,183,644.91/12,830.17
  6. Step 6: Final answer
    x = 6,093.73

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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.