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Finding the Fourth Proportional to 6,592.88, 9,097.76 and 3,608.12

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Solution

The fourth proportional to 6,592.88, 9,097.76 and 3,608.12 is: 4,978.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.88 : 9,097.76 = 3,608.12 : x
  2. Step 2: Convert to fraction form
    6,592.88/9,097.76 = 3,608.12/x
  3. Step 3: Cross multiply
    6,592.88x = 9,097.76 × 3,608.12
  4. Step 4: Simplify right side
    6,592.88x = 32,825,809.81
  5. Step 5: Solve for x
    x = 32,825,809.81/6,592.88
  6. Step 6: Final answer
    x = 4,978.98

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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.