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Finding the Fourth Proportional to 12,617.13, 17,410.94 and 6,950.77

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Solution

The fourth proportional to 12,617.13, 17,410.94 and 6,950.77 is: 9,591.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,617.13 : 17,410.94 = 6,950.77 : x
  2. Step 2: Convert to fraction form
    12,617.13/17,410.94 = 6,950.77/x
  3. Step 3: Cross multiply
    12,617.13x = 17,410.94 × 6,950.77
  4. Step 4: Simplify right side
    12,617.13x = 121,019,387.21
  5. Step 5: Solve for x
    x = 121,019,387.21/12,617.13
  6. Step 6: Final answer
    x = 9,591.67

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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.