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Finding the Fourth Proportional to 9,611.38, 13,259.54 and 6,024.16

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Solution

The fourth proportional to 9,611.38, 13,259.54 and 6,024.16 is: 8,310.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.38 : 13,259.54 = 6,024.16 : x
  2. Step 2: Convert to fraction form
    9,611.38/13,259.54 = 6,024.16/x
  3. Step 3: Cross multiply
    9,611.38x = 13,259.54 × 6,024.16
  4. Step 4: Simplify right side
    9,611.38x = 79,877,590.49
  5. Step 5: Solve for x
    x = 79,877,590.49/9,611.38
  6. Step 6: Final answer
    x = 8,310.73

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Half scale
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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.