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Finding the Fourth Proportional to 6,592.64, 9,097.65 and 3,608.28

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Solution

The fourth proportional to 6,592.64, 9,097.65 and 3,608.28 is: 4,979.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.64 : 9,097.65 = 3,608.28 : x
  2. Step 2: Convert to fraction form
    6,592.64/9,097.65 = 3,608.28/x
  3. Step 3: Cross multiply
    6,592.64x = 9,097.65 × 3,608.28
  4. Step 4: Simplify right side
    6,592.64x = 32,826,868.54
  5. Step 5: Solve for x
    x = 32,826,868.54/6,592.64
  6. Step 6: Final answer
    x = 4,979.32

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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.