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Finding the Fourth Proportional to 7,828.75, 10,794.98 and 6,032.22

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Solution

The fourth proportional to 7,828.75, 10,794.98 and 6,032.22 is: 8,317.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.75 : 10,794.98 = 6,032.22 : x
  2. Step 2: Convert to fraction form
    7,828.75/10,794.98 = 6,032.22/x
  3. Step 3: Cross multiply
    7,828.75x = 10,794.98 × 6,032.22
  4. Step 4: Simplify right side
    7,828.75x = 65,117,694.26
  5. Step 5: Solve for x
    x = 65,117,694.26/7,828.75
  6. Step 6: Final answer
    x = 8,317.76

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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.