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Finding the Fourth Proportional to 11,682.64, 17,502.90 and 6,411.97

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Solution

The fourth proportional to 11,682.64, 17,502.90 and 6,411.97 is: 9,606.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,682.64 : 17,502.90 = 6,411.97 : x
  2. Step 2: Convert to fraction form
    11,682.64/17,502.90 = 6,411.97/x
  3. Step 3: Cross multiply
    11,682.64x = 17,502.90 × 6,411.97
  4. Step 4: Simplify right side
    11,682.64x = 112,228,069.71
  5. Step 5: Solve for x
    x = 112,228,069.71/11,682.64
  6. Step 6: Final answer
    x = 9,606.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.