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Finding the Fourth Proportional to 6,691.68, 10,026.40 and 4,740

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Solution

The fourth proportional to 6,691.68, 10,026.40 and 4,740 is: 7,102.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,691.68 : 10,026.40 = 4,740 : x
  2. Step 2: Convert to fraction form
    6,691.68/10,026.40 = 4,740/x
  3. Step 3: Cross multiply
    6,691.68x = 10,026.40 × 4,740
  4. Step 4: Simplify right side
    6,691.68x = 47,525,136
  5. Step 5: Solve for x
    x = 47,525,136/6,691.68
  6. Step 6: Final answer
    x = 7,102.12

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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.