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Finding the Fourth Proportional to 7,895.08, 10,896.06 and 5,902.21

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Solution

The fourth proportional to 7,895.08, 10,896.06 and 5,902.21 is: 8,145.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,895.08 : 10,896.06 = 5,902.21 : x
  2. Step 2: Convert to fraction form
    7,895.08/10,896.06 = 5,902.21/x
  3. Step 3: Cross multiply
    7,895.08x = 10,896.06 × 5,902.21
  4. Step 4: Simplify right side
    7,895.08x = 64,310,834.29
  5. Step 5: Solve for x
    x = 64,310,834.29/7,895.08
  6. Step 6: Final answer
    x = 8,145.68

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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.