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Finding the Fourth Proportional to 9,950.13, 13,726.57 and 5,964.32

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Solution

The fourth proportional to 9,950.13, 13,726.57 and 5,964.32 is: 8,228.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,950.13 : 13,726.57 = 5,964.32 : x
  2. Step 2: Convert to fraction form
    9,950.13/13,726.57 = 5,964.32/x
  3. Step 3: Cross multiply
    9,950.13x = 13,726.57 × 5,964.32
  4. Step 4: Simplify right side
    9,950.13x = 81,869,655.98
  5. Step 5: Solve for x
    x = 81,869,655.98/9,950.13
  6. Step 6: Final answer
    x = 8,228.00

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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.