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Finding the Fourth Proportional to 9,794.18, 14,686.23 and 3,949.22

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Solution

The fourth proportional to 9,794.18, 14,686.23 and 3,949.22 is: 5,921.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.18 : 14,686.23 = 3,949.22 : x
  2. Step 2: Convert to fraction form
    9,794.18/14,686.23 = 3,949.22/x
  3. Step 3: Cross multiply
    9,794.18x = 14,686.23 × 3,949.22
  4. Step 4: Simplify right side
    9,794.18x = 57,999,153.24
  5. Step 5: Solve for x
    x = 57,999,153.24/9,794.18
  6. Step 6: Final answer
    x = 5,921.80

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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.