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Finding the Fourth Proportional to 6,595.72, 9,099.48 and 3,942.16

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Solution

The fourth proportional to 6,595.72, 9,099.48 and 3,942.16 is: 5,438.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,595.72 : 9,099.48 = 3,942.16 : x
  2. Step 2: Convert to fraction form
    6,595.72/9,099.48 = 3,942.16/x
  3. Step 3: Cross multiply
    6,595.72x = 9,099.48 × 3,942.16
  4. Step 4: Simplify right side
    6,595.72x = 35,871,606.08
  5. Step 5: Solve for x
    x = 35,871,606.08/6,595.72
  6. Step 6: Final answer
    x = 5,438.62

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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.