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Finding the Fourth Proportional to 6,497.64, 8,966.34 and 3,665.46

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Solution

The fourth proportional to 6,497.64, 8,966.34 and 3,665.46 is: 5,058.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.64 : 8,966.34 = 3,665.46 : x
  2. Step 2: Convert to fraction form
    6,497.64/8,966.34 = 3,665.46/x
  3. Step 3: Cross multiply
    6,497.64x = 8,966.34 × 3,665.46
  4. Step 4: Simplify right side
    6,497.64x = 32,865,760.62
  5. Step 5: Solve for x
    x = 32,865,760.62/6,497.64
  6. Step 6: Final answer
    x = 5,058.11

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1.5x scale

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.