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Finding the Fourth Proportional to 5,562.93, 7,678.55 and 3,206.64

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Solution

The fourth proportional to 5,562.93, 7,678.55 and 3,206.64 is: 4,426.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,562.93 : 7,678.55 = 3,206.64 : x
  2. Step 2: Convert to fraction form
    5,562.93/7,678.55 = 3,206.64/x
  3. Step 3: Cross multiply
    5,562.93x = 7,678.55 × 3,206.64
  4. Step 4: Simplify right side
    5,562.93x = 24,622,353.59
  5. Step 5: Solve for x
    x = 24,622,353.59/5,562.93
  6. Step 6: Final answer
    x = 4,426.15

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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.