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Finding the Fourth Proportional to 6,881.64, 9,497.46 and 6,459.41

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Solution

The fourth proportional to 6,881.64, 9,497.46 and 6,459.41 is: 8,914.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.64 : 9,497.46 = 6,459.41 : x
  2. Step 2: Convert to fraction form
    6,881.64/9,497.46 = 6,459.41/x
  3. Step 3: Cross multiply
    6,881.64x = 9,497.46 × 6,459.41
  4. Step 4: Simplify right side
    6,881.64x = 61,347,940.61
  5. Step 5: Solve for x
    x = 61,347,940.61/6,881.64
  6. Step 6: Final answer
    x = 8,914.73

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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.