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Finding the Fourth Proportional to 7,955.71, 10,981.83 and 6,832.14

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Solution

The fourth proportional to 7,955.71, 10,981.83 and 6,832.14 is: 9,430.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,955.71 : 10,981.83 = 6,832.14 : x
  2. Step 2: Convert to fraction form
    7,955.71/10,981.83 = 6,832.14/x
  3. Step 3: Cross multiply
    7,955.71x = 10,981.83 × 6,832.14
  4. Step 4: Simplify right side
    7,955.71x = 75,029,384.45
  5. Step 5: Solve for x
    x = 75,029,384.45/7,955.71
  6. Step 6: Final answer
    x = 9,430.89

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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.