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Finding the Fourth Proportional to 10,313.10, 15,469.65 and 3,737.12

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Solution

The fourth proportional to 10,313.10, 15,469.65 and 3,737.12 is: 5,605.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313.10 : 15,469.65 = 3,737.12 : x
  2. Step 2: Convert to fraction form
    10,313.10/15,469.65 = 3,737.12/x
  3. Step 3: Cross multiply
    10,313.10x = 15,469.65 × 3,737.12
  4. Step 4: Simplify right side
    10,313.10x = 57,811,861.06
  5. Step 5: Solve for x
    x = 57,811,861.06/10,313.10
  6. Step 6: Final answer
    x = 5,605.67

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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.