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Finding the Fourth Proportional to 10,776.83, 14,881.38 and 7,949.11

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Solution

The fourth proportional to 10,776.83, 14,881.38 and 7,949.11 is: 10,976.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,776.83 : 14,881.38 = 7,949.11 : x
  2. Step 2: Convert to fraction form
    10,776.83/14,881.38 = 7,949.11/x
  3. Step 3: Cross multiply
    10,776.83x = 14,881.38 × 7,949.11
  4. Step 4: Simplify right side
    10,776.83x = 118,293,726.57
  5. Step 5: Solve for x
    x = 118,293,726.57/10,776.83
  6. Step 6: Final answer
    x = 10,976.67

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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.