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Finding the Fourth Proportional to 6,149, 9,223.41 and 2,860.25

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Solution

The fourth proportional to 6,149, 9,223.41 and 2,860.25 is: 4,290.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149 : 9,223.41 = 2,860.25 : x
  2. Step 2: Convert to fraction form
    6,149/9,223.41 = 2,860.25/x
  3. Step 3: Cross multiply
    6,149x = 9,223.41 × 2,860.25
  4. Step 4: Simplify right side
    6,149x = 26,381,258.45
  5. Step 5: Solve for x
    x = 26,381,258.45/6,149
  6. Step 6: Final answer
    x = 4,290.33

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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.