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Finding the Fourth Proportional to 9,184.84, 13,777.80 and 3,028.84

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Solution

The fourth proportional to 9,184.84, 13,777.80 and 3,028.84 is: 4,543.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,184.84 : 13,777.80 = 3,028.84 : x
  2. Step 2: Convert to fraction form
    9,184.84/13,777.80 = 3,028.84/x
  3. Step 3: Cross multiply
    9,184.84x = 13,777.80 × 3,028.84
  4. Step 4: Simplify right side
    9,184.84x = 41,730,751.75
  5. Step 5: Solve for x
    x = 41,730,751.75/9,184.84
  6. Step 6: Final answer
    x = 4,543.44

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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.