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Finding the Fourth Proportional to 7,699.61, 10,625.47 and 4,162.82

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Solution

The fourth proportional to 7,699.61, 10,625.47 and 4,162.82 is: 5,744.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.61 : 10,625.47 = 4,162.82 : x
  2. Step 2: Convert to fraction form
    7,699.61/10,625.47 = 4,162.82/x
  3. Step 3: Cross multiply
    7,699.61x = 10,625.47 × 4,162.82
  4. Step 4: Simplify right side
    7,699.61x = 44,231,855.49
  5. Step 5: Solve for x
    x = 44,231,855.49/7,699.61
  6. Step 6: Final answer
    x = 5,744.69

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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.