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Finding the Fourth Proportional to 9,751.65, 14,624.68 and 3,178.41

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Solution

The fourth proportional to 9,751.65, 14,624.68 and 3,178.41 is: 4,766.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.65 : 14,624.68 = 3,178.41 : x
  2. Step 2: Convert to fraction form
    9,751.65/14,624.68 = 3,178.41/x
  3. Step 3: Cross multiply
    9,751.65x = 14,624.68 × 3,178.41
  4. Step 4: Simplify right side
    9,751.65x = 46,483,140.14
  5. Step 5: Solve for x
    x = 46,483,140.14/9,751.65
  6. Step 6: Final answer
    x = 4,766.70

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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.