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Finding the Fourth Proportional to 9,773.12, 13,482.24 and 6,414.56

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Solution

The fourth proportional to 9,773.12, 13,482.24 and 6,414.56 is: 8,849.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.12 : 13,482.24 = 6,414.56 : x
  2. Step 2: Convert to fraction form
    9,773.12/13,482.24 = 6,414.56/x
  3. Step 3: Cross multiply
    9,773.12x = 13,482.24 × 6,414.56
  4. Step 4: Simplify right side
    9,773.12x = 86,482,637.41
  5. Step 5: Solve for x
    x = 86,482,637.41/9,773.12
  6. Step 6: Final answer
    x = 8,849.03

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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.