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Finding the Fourth Proportional to 4,949.29, 7,453.30 and 4,307.77

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Solution

The fourth proportional to 4,949.29, 7,453.30 and 4,307.77 is: 6,487.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,949.29 : 7,453.30 = 4,307.77 : x
  2. Step 2: Convert to fraction form
    4,949.29/7,453.30 = 4,307.77/x
  3. Step 3: Cross multiply
    4,949.29x = 7,453.30 × 4,307.77
  4. Step 4: Simplify right side
    4,949.29x = 32,107,102.14
  5. Step 5: Solve for x
    x = 32,107,102.14/4,949.29
  6. Step 6: Final answer
    x = 6,487.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.