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Finding the Fourth Proportional to 6,497.55, 8,966.11 and 3,664.02

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Solution

The fourth proportional to 6,497.55, 8,966.11 and 3,664.02 is: 5,056.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.55 : 8,966.11 = 3,664.02 : x
  2. Step 2: Convert to fraction form
    6,497.55/8,966.11 = 3,664.02/x
  3. Step 3: Cross multiply
    6,497.55x = 8,966.11 × 3,664.02
  4. Step 4: Simplify right side
    6,497.55x = 32,851,988.04
  5. Step 5: Solve for x
    x = 32,851,988.04/6,497.55
  6. Step 6: Final answer
    x = 5,056.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.