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Finding the Fourth Proportional to 6,533.84, 9,782.12 and 4,338.20

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Solution

The fourth proportional to 6,533.84, 9,782.12 and 4,338.20 is: 6,494.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.84 : 9,782.12 = 4,338.20 : x
  2. Step 2: Convert to fraction form
    6,533.84/9,782.12 = 4,338.20/x
  3. Step 3: Cross multiply
    6,533.84x = 9,782.12 × 4,338.20
  4. Step 4: Simplify right side
    6,533.84x = 42,436,754.92
  5. Step 5: Solve for x
    x = 42,436,754.92/6,533.84
  6. Step 6: Final answer
    x = 6,494.92

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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.