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Finding the Fourth Proportional to 6,416.99, 9,625.46 and 5,126.66

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Solution

The fourth proportional to 6,416.99, 9,625.46 and 5,126.66 is: 7,689.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.99 : 9,625.46 = 5,126.66 : x
  2. Step 2: Convert to fraction form
    6,416.99/9,625.46 = 5,126.66/x
  3. Step 3: Cross multiply
    6,416.99x = 9,625.46 × 5,126.66
  4. Step 4: Simplify right side
    6,416.99x = 49,346,387.00
  5. Step 5: Solve for x
    x = 49,346,387.00/6,416.99
  6. Step 6: Final answer
    x = 7,689.96

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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.