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Finding the Fourth Proportional to 6,533.42, 9,801.21 and 3,246.62

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Solution

The fourth proportional to 6,533.42, 9,801.21 and 3,246.62 is: 4,870.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.42 : 9,801.21 = 3,246.62 : x
  2. Step 2: Convert to fraction form
    6,533.42/9,801.21 = 3,246.62/x
  3. Step 3: Cross multiply
    6,533.42x = 9,801.21 × 3,246.62
  4. Step 4: Simplify right side
    6,533.42x = 31,820,804.41
  5. Step 5: Solve for x
    x = 31,820,804.41/6,533.42
  6. Step 6: Final answer
    x = 4,870.47

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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.