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Finding the Fourth Proportional to 6,497.01, 8,965.84 and 3,512.84

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Solution

The fourth proportional to 6,497.01, 8,965.84 and 3,512.84 is: 4,847.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.01 : 8,965.84 = 3,512.84 : x
  2. Step 2: Convert to fraction form
    6,497.01/8,965.84 = 3,512.84/x
  3. Step 3: Cross multiply
    6,497.01x = 8,965.84 × 3,512.84
  4. Step 4: Simplify right side
    6,497.01x = 31,495,561.39
  5. Step 5: Solve for x
    x = 31,495,561.39/6,497.01
  6. Step 6: Final answer
    x = 4,847.70

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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.