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Finding the Fourth Proportional to 6,697.62, 10,056.15 and 4,948.02

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Solution

The fourth proportional to 6,697.62, 10,056.15 and 4,948.02 is: 7,429.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.62 : 10,056.15 = 4,948.02 : x
  2. Step 2: Convert to fraction form
    6,697.62/10,056.15 = 4,948.02/x
  3. Step 3: Cross multiply
    6,697.62x = 10,056.15 × 4,948.02
  4. Step 4: Simplify right side
    6,697.62x = 49,758,031.32
  5. Step 5: Solve for x
    x = 49,758,031.32/6,697.62
  6. Step 6: Final answer
    x = 7,429.21

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Why These Related Problems?

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