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Finding the Fourth Proportional to 9,488.62, 14,231.28 and 2,561.50

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Solution

The fourth proportional to 9,488.62, 14,231.28 and 2,561.50 is: 3,841.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.62 : 14,231.28 = 2,561.50 : x
  2. Step 2: Convert to fraction form
    9,488.62/14,231.28 = 2,561.50/x
  3. Step 3: Cross multiply
    9,488.62x = 14,231.28 × 2,561.50
  4. Step 4: Simplify right side
    9,488.62x = 36,453,423.72
  5. Step 5: Solve for x
    x = 36,453,423.72/9,488.62
  6. Step 6: Final answer
    x = 3,841.80

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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.