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Finding the Fourth Proportional to 4,903.78, 7,355.64 and 1,825.78

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Solution

The fourth proportional to 4,903.78, 7,355.64 and 1,825.78 is: 2,738.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,903.78 : 7,355.64 = 1,825.78 : x
  2. Step 2: Convert to fraction form
    4,903.78/7,355.64 = 1,825.78/x
  3. Step 3: Cross multiply
    4,903.78x = 7,355.64 × 1,825.78
  4. Step 4: Simplify right side
    4,903.78x = 13,429,780.40
  5. Step 5: Solve for x
    x = 13,429,780.40/4,903.78
  6. Step 6: Final answer
    x = 2,738.66

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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.