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Finding the Fourth Proportional to 10,011.54, 13,817.64 and 5,822.22

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Solution

The fourth proportional to 10,011.54, 13,817.64 and 5,822.22 is: 8,035.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,011.54 : 13,817.64 = 5,822.22 : x
  2. Step 2: Convert to fraction form
    10,011.54/13,817.64 = 5,822.22/x
  3. Step 3: Cross multiply
    10,011.54x = 13,817.64 × 5,822.22
  4. Step 4: Simplify right side
    10,011.54x = 80,449,339.96
  5. Step 5: Solve for x
    x = 80,449,339.96/10,011.54
  6. Step 6: Final answer
    x = 8,035.66

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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.