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Finding the Fourth Proportional to 6,482.31, 8,932.32 and 6,074.07

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Solution

The fourth proportional to 6,482.31, 8,932.32 and 6,074.07 is: 8,369.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.31 : 8,932.32 = 6,074.07 : x
  2. Step 2: Convert to fraction form
    6,482.31/8,932.32 = 6,074.07/x
  3. Step 3: Cross multiply
    6,482.31x = 8,932.32 × 6,074.07
  4. Step 4: Simplify right side
    6,482.31x = 54,255,536.94
  5. Step 5: Solve for x
    x = 54,255,536.94/6,482.31
  6. Step 6: Final answer
    x = 8,369.78

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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.