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Finding the Fourth Proportional to 6,551.91, 9,041.67 and 3,567.74

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Solution

The fourth proportional to 6,551.91, 9,041.67 and 3,567.74 is: 4,923.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.91 : 9,041.67 = 3,567.74 : x
  2. Step 2: Convert to fraction form
    6,551.91/9,041.67 = 3,567.74/x
  3. Step 3: Cross multiply
    6,551.91x = 9,041.67 × 3,567.74
  4. Step 4: Simplify right side
    6,551.91x = 32,258,327.73
  5. Step 5: Solve for x
    x = 32,258,327.73/6,551.91
  6. Step 6: Final answer
    x = 4,923.50

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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.