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Finding the Fourth Proportional to 6,592.96, 9,098.20 and 3,608.76

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Solution

The fourth proportional to 6,592.96, 9,098.20 and 3,608.76 is: 4,980.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.96 : 9,098.20 = 3,608.76 : x
  2. Step 2: Convert to fraction form
    6,592.96/9,098.20 = 3,608.76/x
  3. Step 3: Cross multiply
    6,592.96x = 9,098.20 × 3,608.76
  4. Step 4: Simplify right side
    6,592.96x = 32,833,220.23
  5. Step 5: Solve for x
    x = 32,833,220.23/6,592.96
  6. Step 6: Final answer
    x = 4,980.04

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Half scale
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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.