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Finding the Fourth Proportional to 11,807.25, 16,294.01 and 6,502.06

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Solution

The fourth proportional to 11,807.25, 16,294.01 and 6,502.06 is: 8,972.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.25 : 16,294.01 = 6,502.06 : x
  2. Step 2: Convert to fraction form
    11,807.25/16,294.01 = 6,502.06/x
  3. Step 3: Cross multiply
    11,807.25x = 16,294.01 × 6,502.06
  4. Step 4: Simplify right side
    11,807.25x = 105,944,630.66
  5. Step 5: Solve for x
    x = 105,944,630.66/11,807.25
  6. Step 6: Final answer
    x = 8,972.85

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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.