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Finding the Fourth Proportional to 10,243.64, 15,380.04 and 9,773.84

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Solution

The fourth proportional to 10,243.64, 15,380.04 and 9,773.84 is: 14,674.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,243.64 : 15,380.04 = 9,773.84 : x
  2. Step 2: Convert to fraction form
    10,243.64/15,380.04 = 9,773.84/x
  3. Step 3: Cross multiply
    10,243.64x = 15,380.04 × 9,773.84
  4. Step 4: Simplify right side
    10,243.64x = 150,322,050.15
  5. Step 5: Solve for x
    x = 150,322,050.15/10,243.64
  6. Step 6: Final answer
    x = 14,674.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.