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Finding the Fourth Proportional to 4,974.78, 7,464.09 and 1,688.70

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Solution

The fourth proportional to 4,974.78, 7,464.09 and 1,688.70 is: 2,533.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.78 : 7,464.09 = 1,688.70 : x
  2. Step 2: Convert to fraction form
    4,974.78/7,464.09 = 1,688.70/x
  3. Step 3: Cross multiply
    4,974.78x = 7,464.09 × 1,688.70
  4. Step 4: Simplify right side
    4,974.78x = 12,604,608.78
  5. Step 5: Solve for x
    x = 12,604,608.78/4,974.78
  6. Step 6: Final answer
    x = 2,533.70

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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.