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Finding the Fourth Proportional to 7,832.65, 10,809 and 4,295.80

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Solution

The fourth proportional to 7,832.65, 10,809 and 4,295.80 is: 5,928.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.65 : 10,809 = 4,295.80 : x
  2. Step 2: Convert to fraction form
    7,832.65/10,809 = 4,295.80/x
  3. Step 3: Cross multiply
    7,832.65x = 10,809 × 4,295.80
  4. Step 4: Simplify right side
    7,832.65x = 46,433,302.20
  5. Step 5: Solve for x
    x = 46,433,302.20/7,832.65
  6. Step 6: Final answer
    x = 5,928.17

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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.