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Finding the Fourth Proportional to 6,624.60, 9,933.90 and 4,767.93

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Solution

The fourth proportional to 6,624.60, 9,933.90 and 4,767.93 is: 7,149.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,624.60 : 9,933.90 = 4,767.93 : x
  2. Step 2: Convert to fraction form
    6,624.60/9,933.90 = 4,767.93/x
  3. Step 3: Cross multiply
    6,624.60x = 9,933.90 × 4,767.93
  4. Step 4: Simplify right side
    6,624.60x = 47,364,139.83
  5. Step 5: Solve for x
    x = 47,364,139.83/6,624.60
  6. Step 6: Final answer
    x = 7,149.74

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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.