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Finding the Fourth Proportional to 8,462.55, 11,678.60 and 5,624.98

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Solution

The fourth proportional to 8,462.55, 11,678.60 and 5,624.98 is: 7,762.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.55 : 11,678.60 = 5,624.98 : x
  2. Step 2: Convert to fraction form
    8,462.55/11,678.60 = 5,624.98/x
  3. Step 3: Cross multiply
    8,462.55x = 11,678.60 × 5,624.98
  4. Step 4: Simplify right side
    8,462.55x = 65,691,891.43
  5. Step 5: Solve for x
    x = 65,691,891.43/8,462.55
  6. Step 6: Final answer
    x = 7,762.66

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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.