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Finding the Fourth Proportional to 6,472.48, 8,932.84 and 3,677.44

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Solution

The fourth proportional to 6,472.48, 8,932.84 and 3,677.44 is: 5,075.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.48 : 8,932.84 = 3,677.44 : x
  2. Step 2: Convert to fraction form
    6,472.48/8,932.84 = 3,677.44/x
  3. Step 3: Cross multiply
    6,472.48x = 8,932.84 × 3,677.44
  4. Step 4: Simplify right side
    6,472.48x = 32,849,983.13
  5. Step 5: Solve for x
    x = 32,849,983.13/6,472.48
  6. Step 6: Final answer
    x = 5,075.33

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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.