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Finding the Fourth Proportional to 11,807.72, 16,294.97 and 6,502.88

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Solution

The fourth proportional to 11,807.72, 16,294.97 and 6,502.88 is: 8,974.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.72 : 16,294.97 = 6,502.88 : x
  2. Step 2: Convert to fraction form
    11,807.72/16,294.97 = 6,502.88/x
  3. Step 3: Cross multiply
    11,807.72x = 16,294.97 × 6,502.88
  4. Step 4: Simplify right side
    11,807.72x = 105,964,291.51
  5. Step 5: Solve for x
    x = 105,964,291.51/11,807.72
  6. Step 6: Final answer
    x = 8,974.15

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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.