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Finding the Fourth Proportional to 11,776.96, 17,626.98 and 8,656.14

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Solution

The fourth proportional to 11,776.96, 17,626.98 and 8,656.14 is: 12,955.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.96 : 17,626.98 = 8,656.14 : x
  2. Step 2: Convert to fraction form
    11,776.96/17,626.98 = 8,656.14/x
  3. Step 3: Cross multiply
    11,776.96x = 17,626.98 × 8,656.14
  4. Step 4: Simplify right side
    11,776.96x = 152,581,606.66
  5. Step 5: Solve for x
    x = 152,581,606.66/11,776.96
  6. Step 6: Final answer
    x = 12,955.94

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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.