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Finding the Fourth Proportional to 7,153.82, 9,877.16 and 4,469.12

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Solution

The fourth proportional to 7,153.82, 9,877.16 and 4,469.12 is: 6,170.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.82 : 9,877.16 = 4,469.12 : x
  2. Step 2: Convert to fraction form
    7,153.82/9,877.16 = 4,469.12/x
  3. Step 3: Cross multiply
    7,153.82x = 9,877.16 × 4,469.12
  4. Step 4: Simplify right side
    7,153.82x = 44,142,206.58
  5. Step 5: Solve for x
    x = 44,142,206.58/7,153.82
  6. Step 6: Final answer
    x = 6,170.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.