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Finding the Fourth Proportional to 6,570.92, 9,857.87 and 2,874.18

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Solution

The fourth proportional to 6,570.92, 9,857.87 and 2,874.18 is: 4,311.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.92 : 9,857.87 = 2,874.18 : x
  2. Step 2: Convert to fraction form
    6,570.92/9,857.87 = 2,874.18/x
  3. Step 3: Cross multiply
    6,570.92x = 9,857.87 × 2,874.18
  4. Step 4: Simplify right side
    6,570.92x = 28,333,326.17
  5. Step 5: Solve for x
    x = 28,333,326.17/6,570.92
  6. Step 6: Final answer
    x = 4,311.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.