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Finding the Fourth Proportional to 8,405.24, 11,598.78 and 4,679

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Solution

The fourth proportional to 8,405.24, 11,598.78 and 4,679 is: 6,456.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.24 : 11,598.78 = 4,679 : x
  2. Step 2: Convert to fraction form
    8,405.24/11,598.78 = 4,679/x
  3. Step 3: Cross multiply
    8,405.24x = 11,598.78 × 4,679
  4. Step 4: Simplify right side
    8,405.24x = 54,270,691.62
  5. Step 5: Solve for x
    x = 54,270,691.62/8,405.24
  6. Step 6: Final answer
    x = 6,456.77

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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.