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Finding the Fourth Proportional to 6,773.70, 10,152.45 and 3,485.10

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Solution

The fourth proportional to 6,773.70, 10,152.45 and 3,485.10 is: 5,223.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,773.70 : 10,152.45 = 3,485.10 : x
  2. Step 2: Convert to fraction form
    6,773.70/10,152.45 = 3,485.10/x
  3. Step 3: Cross multiply
    6,773.70x = 10,152.45 × 3,485.10
  4. Step 4: Simplify right side
    6,773.70x = 35,382,303.50
  5. Step 5: Solve for x
    x = 35,382,303.50/6,773.70
  6. Step 6: Final answer
    x = 5,223.48

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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.