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Finding the Fourth Proportional to 6,323.68, 9,486.06 and 1,643.62

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Solution

The fourth proportional to 6,323.68, 9,486.06 and 1,643.62 is: 2,465.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.68 : 9,486.06 = 1,643.62 : x
  2. Step 2: Convert to fraction form
    6,323.68/9,486.06 = 1,643.62/x
  3. Step 3: Cross multiply
    6,323.68x = 9,486.06 × 1,643.62
  4. Step 4: Simplify right side
    6,323.68x = 15,591,477.94
  5. Step 5: Solve for x
    x = 15,591,477.94/6,323.68
  6. Step 6: Final answer
    x = 2,465.57

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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.