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Finding the Fourth Proportional to 7,696.68, 10,624.92 and 5,809.08

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Solution

The fourth proportional to 7,696.68, 10,624.92 and 5,809.08 is: 8,019.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.68 : 10,624.92 = 5,809.08 : x
  2. Step 2: Convert to fraction form
    7,696.68/10,624.92 = 5,809.08/x
  3. Step 3: Cross multiply
    7,696.68x = 10,624.92 × 5,809.08
  4. Step 4: Simplify right side
    7,696.68x = 61,721,010.27
  5. Step 5: Solve for x
    x = 61,721,010.27/7,696.68
  6. Step 6: Final answer
    x = 8,019.17

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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.