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Finding the Fourth Proportional to 7,882.92, 11,798.87 and 5,802.48

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Solution

The fourth proportional to 7,882.92, 11,798.87 and 5,802.48 is: 8,684.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.92 : 11,798.87 = 5,802.48 : x
  2. Step 2: Convert to fraction form
    7,882.92/11,798.87 = 5,802.48/x
  3. Step 3: Cross multiply
    7,882.92x = 11,798.87 × 5,802.48
  4. Step 4: Simplify right side
    7,882.92x = 68,462,678.19
  5. Step 5: Solve for x
    x = 68,462,678.19/7,882.92
  6. Step 6: Final answer
    x = 8,684.94

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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.