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Finding the Fourth Proportional to 6,801.17, 10,197.50 and 3,875.45

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Solution

The fourth proportional to 6,801.17, 10,197.50 and 3,875.45 is: 5,810.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.17 : 10,197.50 = 3,875.45 : x
  2. Step 2: Convert to fraction form
    6,801.17/10,197.50 = 3,875.45/x
  3. Step 3: Cross multiply
    6,801.17x = 10,197.50 × 3,875.45
  4. Step 4: Simplify right side
    6,801.17x = 39,519,831.01
  5. Step 5: Solve for x
    x = 39,519,831.01/6,801.17
  6. Step 6: Final answer
    x = 5,810.74

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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.