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Finding the Fourth Proportional to 7,882.12, 10,798.46 and 7,586.68

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Solution

The fourth proportional to 7,882.12, 10,798.46 and 7,586.68 is: 10,393.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.12 : 10,798.46 = 7,586.68 : x
  2. Step 2: Convert to fraction form
    7,882.12/10,798.46 = 7,586.68/x
  3. Step 3: Cross multiply
    7,882.12x = 10,798.46 × 7,586.68
  4. Step 4: Simplify right side
    7,882.12x = 81,924,460.51
  5. Step 5: Solve for x
    x = 81,924,460.51/7,882.12
  6. Step 6: Final answer
    x = 10,393.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.