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Finding the Fourth Proportional to 9,655.50, 14,488.73 and 5,213.11

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Solution

The fourth proportional to 9,655.50, 14,488.73 and 5,213.11 is: 7,822.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655.50 : 14,488.73 = 5,213.11 : x
  2. Step 2: Convert to fraction form
    9,655.50/14,488.73 = 5,213.11/x
  3. Step 3: Cross multiply
    9,655.50x = 14,488.73 × 5,213.11
  4. Step 4: Simplify right side
    9,655.50x = 75,531,244.74
  5. Step 5: Solve for x
    x = 75,531,244.74/9,655.50
  6. Step 6: Final answer
    x = 7,822.61

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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.