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Finding the Fourth Proportional to 7,213.86, 9,950.45 and 4,664.99

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Solution

The fourth proportional to 7,213.86, 9,950.45 and 4,664.99 is: 6,434.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.86 : 9,950.45 = 4,664.99 : x
  2. Step 2: Convert to fraction form
    7,213.86/9,950.45 = 4,664.99/x
  3. Step 3: Cross multiply
    7,213.86x = 9,950.45 × 4,664.99
  4. Step 4: Simplify right side
    7,213.86x = 46,418,751.30
  5. Step 5: Solve for x
    x = 46,418,751.30/7,213.86
  6. Step 6: Final answer
    x = 6,434.66

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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.