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Finding the Fourth Proportional to 11,483.84, 17,223.48 and 3,161.72

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Solution

The fourth proportional to 11,483.84, 17,223.48 and 3,161.72 is: 4,741.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,483.84 : 17,223.48 = 3,161.72 : x
  2. Step 2: Convert to fraction form
    11,483.84/17,223.48 = 3,161.72/x
  3. Step 3: Cross multiply
    11,483.84x = 17,223.48 × 3,161.72
  4. Step 4: Simplify right side
    11,483.84x = 54,455,821.19
  5. Step 5: Solve for x
    x = 54,455,821.19/11,483.84
  6. Step 6: Final answer
    x = 4,741.95

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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.