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Finding the Fourth Proportional to 6,594.50, 9,891.76 and 1,664.14

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Solution

The fourth proportional to 6,594.50, 9,891.76 and 1,664.14 is: 2,496.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,594.50 : 9,891.76 = 1,664.14 : x
  2. Step 2: Convert to fraction form
    6,594.50/9,891.76 = 1,664.14/x
  3. Step 3: Cross multiply
    6,594.50x = 9,891.76 × 1,664.14
  4. Step 4: Simplify right side
    6,594.50x = 16,461,224.03
  5. Step 5: Solve for x
    x = 16,461,224.03/6,594.50
  6. Step 6: Final answer
    x = 2,496.21

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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.