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Finding the Fourth Proportional to 7,070.44, 10,534.61 and 6,673

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Solution

The fourth proportional to 7,070.44, 10,534.61 and 6,673 is: 9,942.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.44 : 10,534.61 = 6,673 : x
  2. Step 2: Convert to fraction form
    7,070.44/10,534.61 = 6,673/x
  3. Step 3: Cross multiply
    7,070.44x = 10,534.61 × 6,673
  4. Step 4: Simplify right side
    7,070.44x = 70,297,452.53
  5. Step 5: Solve for x
    x = 70,297,452.53/7,070.44
  6. Step 6: Final answer
    x = 9,942.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.