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Finding the Fourth Proportional to 9,524.46, 14,255.64 and 8,615.10

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Solution

The fourth proportional to 9,524.46, 14,255.64 and 8,615.10 is: 12,894.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524.46 : 14,255.64 = 8,615.10 : x
  2. Step 2: Convert to fraction form
    9,524.46/14,255.64 = 8,615.10/x
  3. Step 3: Cross multiply
    9,524.46x = 14,255.64 × 8,615.10
  4. Step 4: Simplify right side
    9,524.46x = 122,813,764.16
  5. Step 5: Solve for x
    x = 122,813,764.16/9,524.46
  6. Step 6: Final answer
    x = 12,894.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.