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Finding the Fourth Proportional to 6,567.34, 9,062.83 and 3,583.17

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Solution

The fourth proportional to 6,567.34, 9,062.83 and 3,583.17 is: 4,944.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.34 : 9,062.83 = 3,583.17 : x
  2. Step 2: Convert to fraction form
    6,567.34/9,062.83 = 3,583.17/x
  3. Step 3: Cross multiply
    6,567.34x = 9,062.83 × 3,583.17
  4. Step 4: Simplify right side
    6,567.34x = 32,473,660.57
  5. Step 5: Solve for x
    x = 32,473,660.57/6,567.34
  6. Step 6: Final answer
    x = 4,944.72

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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.