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Finding the Fourth Proportional to 7,846.50, 10,828.17 and 4,309.77

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Solution

The fourth proportional to 7,846.50, 10,828.17 and 4,309.77 is: 5,947.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.50 : 10,828.17 = 4,309.77 : x
  2. Step 2: Convert to fraction form
    7,846.50/10,828.17 = 4,309.77/x
  3. Step 3: Cross multiply
    7,846.50x = 10,828.17 × 4,309.77
  4. Step 4: Simplify right side
    7,846.50x = 46,666,922.22
  5. Step 5: Solve for x
    x = 46,666,922.22/7,846.50
  6. Step 6: Final answer
    x = 5,947.48

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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.