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Finding the Fourth Proportional to 6,497.64, 8,961.68 and 5,968.16

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Solution

The fourth proportional to 6,497.64, 8,961.68 and 5,968.16 is: 8,231.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.64 : 8,961.68 = 5,968.16 : x
  2. Step 2: Convert to fraction form
    6,497.64/8,961.68 = 5,968.16/x
  3. Step 3: Cross multiply
    6,497.64x = 8,961.68 × 5,968.16
  4. Step 4: Simplify right side
    6,497.64x = 53,484,740.11
  5. Step 5: Solve for x
    x = 53,484,740.11/6,497.64
  6. Step 6: Final answer
    x = 8,231.41

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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.