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Finding the Fourth Proportional to 6,942.02, 9,576.41 and 4,703.13

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Solution

The fourth proportional to 6,942.02, 9,576.41 and 4,703.13 is: 6,487.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,942.02 : 9,576.41 = 4,703.13 : x
  2. Step 2: Convert to fraction form
    6,942.02/9,576.41 = 4,703.13/x
  3. Step 3: Cross multiply
    6,942.02x = 9,576.41 × 4,703.13
  4. Step 4: Simplify right side
    6,942.02x = 45,039,077.65
  5. Step 5: Solve for x
    x = 45,039,077.65/6,942.02
  6. Step 6: Final answer
    x = 6,487.90

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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.