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Finding the Fourth Proportional to 8,323.83, 12,483 and 2,775.65

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Solution

The fourth proportional to 8,323.83, 12,483 and 2,775.65 is: 4,162.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323.83 : 12,483 = 2,775.65 : x
  2. Step 2: Convert to fraction form
    8,323.83/12,483 = 2,775.65/x
  3. Step 3: Cross multiply
    8,323.83x = 12,483 × 2,775.65
  4. Step 4: Simplify right side
    8,323.83x = 34,648,376.54
  5. Step 5: Solve for x
    x = 34,648,376.54/8,323.83
  6. Step 6: Final answer
    x = 4,162.55

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Double scale
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1.5x scale

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.