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Finding the Fourth Proportional to 7,824.65, 11,680.06 and 7,246.46

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Solution

The fourth proportional to 7,824.65, 11,680.06 and 7,246.46 is: 10,816.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824.65 : 11,680.06 = 7,246.46 : x
  2. Step 2: Convert to fraction form
    7,824.65/11,680.06 = 7,246.46/x
  3. Step 3: Cross multiply
    7,824.65x = 11,680.06 × 7,246.46
  4. Step 4: Simplify right side
    7,824.65x = 84,639,087.59
  5. Step 5: Solve for x
    x = 84,639,087.59/7,824.65
  6. Step 6: Final answer
    x = 10,816.98

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.