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Finding the Fourth Proportional to 7,812.94, 11,713.59 and 2,881.66

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Solution

The fourth proportional to 7,812.94, 11,713.59 and 2,881.66 is: 4,320.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.94 : 11,713.59 = 2,881.66 : x
  2. Step 2: Convert to fraction form
    7,812.94/11,713.59 = 2,881.66/x
  3. Step 3: Cross multiply
    7,812.94x = 11,713.59 × 2,881.66
  4. Step 4: Simplify right side
    7,812.94x = 33,754,583.76
  5. Step 5: Solve for x
    x = 33,754,583.76/7,812.94
  6. Step 6: Final answer
    x = 4,320.34

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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.