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Finding the Fourth Proportional to 11,806.98, 16,294.02 and 6,502.20

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Solution

The fourth proportional to 11,806.98, 16,294.02 and 6,502.20 is: 8,973.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.98 : 16,294.02 = 6,502.20 : x
  2. Step 2: Convert to fraction form
    11,806.98/16,294.02 = 6,502.20/x
  3. Step 3: Cross multiply
    11,806.98x = 16,294.02 × 6,502.20
  4. Step 4: Simplify right side
    11,806.98x = 105,946,976.84
  5. Step 5: Solve for x
    x = 105,946,976.84/11,806.98
  6. Step 6: Final answer
    x = 8,973.25

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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.