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Finding the Fourth Proportional to 8,431.76, 11,636.22 and 4,655.46

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Solution

The fourth proportional to 8,431.76, 11,636.22 and 4,655.46 is: 6,424.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.76 : 11,636.22 = 4,655.46 : x
  2. Step 2: Convert to fraction form
    8,431.76/11,636.22 = 4,655.46/x
  3. Step 3: Cross multiply
    8,431.76x = 11,636.22 × 4,655.46
  4. Step 4: Simplify right side
    8,431.76x = 54,171,956.76
  5. Step 5: Solve for x
    x = 54,171,956.76/8,431.76
  6. Step 6: Final answer
    x = 6,424.75

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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.