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Finding the Fourth Proportional to 12,704.18, 19,068.09 and 6,468.86

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Solution

The fourth proportional to 12,704.18, 19,068.09 and 6,468.86 is: 9,709.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,704.18 : 19,068.09 = 6,468.86 : x
  2. Step 2: Convert to fraction form
    12,704.18/19,068.09 = 6,468.86/x
  3. Step 3: Cross multiply
    12,704.18x = 19,068.09 × 6,468.86
  4. Step 4: Simplify right side
    12,704.18x = 123,348,709.34
  5. Step 5: Solve for x
    x = 123,348,709.34/12,704.18
  6. Step 6: Final answer
    x = 9,709.30

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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.