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Finding the Fourth Proportional to 9,950.76, 14,861.77 and 7,873.11

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Solution

The fourth proportional to 9,950.76, 14,861.77 and 7,873.11 is: 11,758.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,950.76 : 14,861.77 = 7,873.11 : x
  2. Step 2: Convert to fraction form
    9,950.76/14,861.77 = 7,873.11/x
  3. Step 3: Cross multiply
    9,950.76x = 14,861.77 × 7,873.11
  4. Step 4: Simplify right side
    9,950.76x = 117,008,330.32
  5. Step 5: Solve for x
    x = 117,008,330.32/9,950.76
  6. Step 6: Final answer
    x = 11,758.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.