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Finding the Fourth Proportional to 7,832.57, 10,808.78 and 4,295.70

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Solution

The fourth proportional to 7,832.57, 10,808.78 and 4,295.70 is: 5,927.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.57 : 10,808.78 = 4,295.70 : x
  2. Step 2: Convert to fraction form
    7,832.57/10,808.78 = 4,295.70/x
  3. Step 3: Cross multiply
    7,832.57x = 10,808.78 × 4,295.70
  4. Step 4: Simplify right side
    7,832.57x = 46,431,254.77
  5. Step 5: Solve for x
    x = 46,431,254.77/7,832.57
  6. Step 6: Final answer
    x = 5,927.98

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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.