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Finding the Fourth Proportional to 12,079.16, 16,678.68 and 7,832.24

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Solution

The fourth proportional to 12,079.16, 16,678.68 and 7,832.24 is: 10,814.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,079.16 : 16,678.68 = 7,832.24 : x
  2. Step 2: Convert to fraction form
    12,079.16/16,678.68 = 7,832.24/x
  3. Step 3: Cross multiply
    12,079.16x = 16,678.68 × 7,832.24
  4. Step 4: Simplify right side
    12,079.16x = 130,631,424.64
  5. Step 5: Solve for x
    x = 130,631,424.64/12,079.16
  6. Step 6: Final answer
    x = 10,814.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.