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Finding the Fourth Proportional to 12,284.01, 16,950.87 and 6,832.04

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Solution

The fourth proportional to 12,284.01, 16,950.87 and 6,832.04 is: 9,427.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,284.01 : 16,950.87 = 6,832.04 : x
  2. Step 2: Convert to fraction form
    12,284.01/16,950.87 = 6,832.04/x
  3. Step 3: Cross multiply
    12,284.01x = 16,950.87 × 6,832.04
  4. Step 4: Simplify right side
    12,284.01x = 115,808,937.12
  5. Step 5: Solve for x
    x = 115,808,937.12/12,284.01
  6. Step 6: Final answer
    x = 9,427.62

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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.