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Finding the Fourth Proportional to 6,895.32, 9,525.23 and 6,149.04

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Solution

The fourth proportional to 6,895.32, 9,525.23 and 6,149.04 is: 8,494.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,895.32 : 9,525.23 = 6,149.04 : x
  2. Step 2: Convert to fraction form
    6,895.32/9,525.23 = 6,149.04/x
  3. Step 3: Cross multiply
    6,895.32x = 9,525.23 × 6,149.04
  4. Step 4: Simplify right side
    6,895.32x = 58,571,020.28
  5. Step 5: Solve for x
    x = 58,571,020.28/6,895.32
  6. Step 6: Final answer
    x = 8,494.32

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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.