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Finding the Fourth Proportional to 6,529.16, 9,793.72 and 1,598.74

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Solution

The fourth proportional to 6,529.16, 9,793.72 and 1,598.74 is: 2,398.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,529.16 : 9,793.72 = 1,598.74 : x
  2. Step 2: Convert to fraction form
    6,529.16/9,793.72 = 1,598.74/x
  3. Step 3: Cross multiply
    6,529.16x = 9,793.72 × 1,598.74
  4. Step 4: Simplify right side
    6,529.16x = 15,657,611.91
  5. Step 5: Solve for x
    x = 15,657,611.91/6,529.16
  6. Step 6: Final answer
    x = 2,398.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.