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Finding the Fourth Proportional to 4,752.44, 7,123.34 and 1,977.22

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Solution

The fourth proportional to 4,752.44, 7,123.34 and 1,977.22 is: 2,963.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.44 : 7,123.34 = 1,977.22 : x
  2. Step 2: Convert to fraction form
    4,752.44/7,123.34 = 1,977.22/x
  3. Step 3: Cross multiply
    4,752.44x = 7,123.34 × 1,977.22
  4. Step 4: Simplify right side
    4,752.44x = 14,084,410.31
  5. Step 5: Solve for x
    x = 14,084,410.31/4,752.44
  6. Step 6: Final answer
    x = 2,963.62

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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.