Home / 6,566.02-9,825.90-4,102

Finding the Fourth Proportional to 6,566.02, 9,825.90 and 4,102

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Solution

The fourth proportional to 6,566.02, 9,825.90 and 4,102 is: 6,138.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.02 : 9,825.90 = 4,102 : x
  2. Step 2: Convert to fraction form
    6,566.02/9,825.90 = 4,102/x
  3. Step 3: Cross multiply
    6,566.02x = 9,825.90 × 4,102
  4. Step 4: Simplify right side
    6,566.02x = 40,305,841.80
  5. Step 5: Solve for x
    x = 40,305,841.80/6,566.02
  6. Step 6: Final answer
    x = 6,138.55

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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.