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Finding the Fourth Proportional to 6,497.75, 8,966.90 and 3,513.58

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Solution

The fourth proportional to 6,497.75, 8,966.90 and 3,513.58 is: 4,848.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.75 : 8,966.90 = 3,513.58 : x
  2. Step 2: Convert to fraction form
    6,497.75/8,966.90 = 3,513.58/x
  3. Step 3: Cross multiply
    6,497.75x = 8,966.90 × 3,513.58
  4. Step 4: Simplify right side
    6,497.75x = 31,505,925.35
  5. Step 5: Solve for x
    x = 31,505,925.35/6,497.75
  6. Step 6: Final answer
    x = 4,848.75

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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.