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Finding the Fourth Proportional to 9,409.68, 12,984.30 and 5,823

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Solution

The fourth proportional to 9,409.68, 12,984.30 and 5,823 is: 8,035.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.68 : 12,984.30 = 5,823 : x
  2. Step 2: Convert to fraction form
    9,409.68/12,984.30 = 5,823/x
  3. Step 3: Cross multiply
    9,409.68x = 12,984.30 × 5,823
  4. Step 4: Simplify right side
    9,409.68x = 75,607,578.90
  5. Step 5: Solve for x
    x = 75,607,578.90/9,409.68
  6. Step 6: Final answer
    x = 8,035.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.