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Finding the Fourth Proportional to 12,832.86, 19,255.68 and 7,207.02

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Solution

The fourth proportional to 12,832.86, 19,255.68 and 7,207.02 is: 10,814.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.86 : 19,255.68 = 7,207.02 : x
  2. Step 2: Convert to fraction form
    12,832.86/19,255.68 = 7,207.02/x
  3. Step 3: Cross multiply
    12,832.86x = 19,255.68 × 7,207.02
  4. Step 4: Simplify right side
    12,832.86x = 138,776,070.87
  5. Step 5: Solve for x
    x = 138,776,070.87/12,832.86
  6. Step 6: Final answer
    x = 10,814.12

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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.