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Finding the Fourth Proportional to 6,592.18, 9,097.18 and 3,567.30

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Solution

The fourth proportional to 6,592.18, 9,097.18 and 3,567.30 is: 4,922.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.18 : 9,097.18 = 3,567.30 : x
  2. Step 2: Convert to fraction form
    6,592.18/9,097.18 = 3,567.30/x
  3. Step 3: Cross multiply
    6,592.18x = 9,097.18 × 3,567.30
  4. Step 4: Simplify right side
    6,592.18x = 32,452,370.21
  5. Step 5: Solve for x
    x = 32,452,370.21/6,592.18
  6. Step 6: Final answer
    x = 4,922.86

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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.