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Finding the Fourth Proportional to 7,846.05, 10,828.22 and 4,309.95

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Solution

The fourth proportional to 7,846.05, 10,828.22 and 4,309.95 is: 5,948.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.05 : 10,828.22 = 4,309.95 : x
  2. Step 2: Convert to fraction form
    7,846.05/10,828.22 = 4,309.95/x
  3. Step 3: Cross multiply
    7,846.05x = 10,828.22 × 4,309.95
  4. Step 4: Simplify right side
    7,846.05x = 46,669,086.79
  5. Step 5: Solve for x
    x = 46,669,086.79/7,846.05
  6. Step 6: Final answer
    x = 5,948.10

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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.