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Finding the Fourth Proportional to 6,472.66, 8,932.23 and 3,678.16

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Solution

The fourth proportional to 6,472.66, 8,932.23 and 3,678.16 is: 5,075.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.66 : 8,932.23 = 3,678.16 : x
  2. Step 2: Convert to fraction form
    6,472.66/8,932.23 = 3,678.16/x
  3. Step 3: Cross multiply
    6,472.66x = 8,932.23 × 3,678.16
  4. Step 4: Simplify right side
    6,472.66x = 32,854,171.10
  5. Step 5: Solve for x
    x = 32,854,171.10/6,472.66
  6. Step 6: Final answer
    x = 5,075.84

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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.