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Finding the Fourth Proportional to 6,695.46, 10,033.02 and 5,302.98

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Solution

The fourth proportional to 6,695.46, 10,033.02 and 5,302.98 is: 7,946.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,695.46 : 10,033.02 = 5,302.98 : x
  2. Step 2: Convert to fraction form
    6,695.46/10,033.02 = 5,302.98/x
  3. Step 3: Cross multiply
    6,695.46x = 10,033.02 × 5,302.98
  4. Step 4: Simplify right side
    6,695.46x = 53,204,904.40
  5. Step 5: Solve for x
    x = 53,204,904.40/6,695.46
  6. Step 6: Final answer
    x = 7,946.42

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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.