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Finding the Fourth Proportional to 5,532.68, 8,299 and 1,636.78

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Solution

The fourth proportional to 5,532.68, 8,299 and 1,636.78 is: 2,455.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,532.68 : 8,299 = 1,636.78 : x
  2. Step 2: Convert to fraction form
    5,532.68/8,299 = 1,636.78/x
  3. Step 3: Cross multiply
    5,532.68x = 8,299 × 1,636.78
  4. Step 4: Simplify right side
    5,532.68x = 13,583,637.22
  5. Step 5: Solve for x
    x = 13,583,637.22/5,532.68
  6. Step 6: Final answer
    x = 2,455.16

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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.