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Finding the Fourth Proportional to 6,497.96, 8,967.16 and 3,513.78

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Solution

The fourth proportional to 6,497.96, 8,967.16 and 3,513.78 is: 4,849.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.96 : 8,967.16 = 3,513.78 : x
  2. Step 2: Convert to fraction form
    6,497.96/8,967.16 = 3,513.78/x
  3. Step 3: Cross multiply
    6,497.96x = 8,967.16 × 3,513.78
  4. Step 4: Simplify right side
    6,497.96x = 31,508,627.46
  5. Step 5: Solve for x
    x = 31,508,627.46/6,497.96
  6. Step 6: Final answer
    x = 4,849.00

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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.