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Finding the Fourth Proportional to 9,220, 13,830.24 and 3,064

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Solution

The fourth proportional to 9,220, 13,830.24 and 3,064 is: 4,596.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,220 : 13,830.24 = 3,064 : x
  2. Step 2: Convert to fraction form
    9,220/13,830.24 = 3,064/x
  3. Step 3: Cross multiply
    9,220x = 13,830.24 × 3,064
  4. Step 4: Simplify right side
    9,220x = 42,375,855.36
  5. Step 5: Solve for x
    x = 42,375,855.36/9,220
  6. Step 6: Final answer
    x = 4,596.08

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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.