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Finding the Fourth Proportional to 9,447.52, 14,234.32 and 8,559.16

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Solution

The fourth proportional to 9,447.52, 14,234.32 and 8,559.16 is: 12,895.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447.52 : 14,234.32 = 8,559.16 : x
  2. Step 2: Convert to fraction form
    9,447.52/14,234.32 = 8,559.16/x
  3. Step 3: Cross multiply
    9,447.52x = 14,234.32 × 8,559.16
  4. Step 4: Simplify right side
    9,447.52x = 121,833,822.37
  5. Step 5: Solve for x
    x = 121,833,822.37/9,447.52
  6. Step 6: Final answer
    x = 12,895.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.