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Finding the Fourth Proportional to 7,832.46, 10,798.80 and 5,711.07

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Solution

The fourth proportional to 7,832.46, 10,798.80 and 5,711.07 is: 7,873.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.46 : 10,798.80 = 5,711.07 : x
  2. Step 2: Convert to fraction form
    7,832.46/10,798.80 = 5,711.07/x
  3. Step 3: Cross multiply
    7,832.46x = 10,798.80 × 5,711.07
  4. Step 4: Simplify right side
    7,832.46x = 61,672,702.72
  5. Step 5: Solve for x
    x = 61,672,702.72/7,832.46
  6. Step 6: Final answer
    x = 7,873.99

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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.