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Finding the Fourth Proportional to 6,308.87, 9,465.16 and 1,866.65

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Solution

The fourth proportional to 6,308.87, 9,465.16 and 1,866.65 is: 2,800.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.87 : 9,465.16 = 1,866.65 : x
  2. Step 2: Convert to fraction form
    6,308.87/9,465.16 = 1,866.65/x
  3. Step 3: Cross multiply
    6,308.87x = 9,465.16 × 1,866.65
  4. Step 4: Simplify right side
    6,308.87x = 17,668,155.24
  5. Step 5: Solve for x
    x = 17,668,155.24/6,308.87
  6. Step 6: Final answer
    x = 2,800.53

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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.