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Finding the Fourth Proportional to 5,715, 8,510.05 and 5,504.82

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Solution

The fourth proportional to 5,715, 8,510.05 and 5,504.82 is: 8,197.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715 : 8,510.05 = 5,504.82 : x
  2. Step 2: Convert to fraction form
    5,715/8,510.05 = 5,504.82/x
  3. Step 3: Cross multiply
    5,715x = 8,510.05 × 5,504.82
  4. Step 4: Simplify right side
    5,715x = 46,846,293.44
  5. Step 5: Solve for x
    x = 46,846,293.44/5,715
  6. Step 6: Final answer
    x = 8,197.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.