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Finding the Fourth Proportional to 6,699.48, 10,028.39 and 4,946.45

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Solution

The fourth proportional to 6,699.48, 10,028.39 and 4,946.45 is: 7,404.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,699.48 : 10,028.39 = 4,946.45 : x
  2. Step 2: Convert to fraction form
    6,699.48/10,028.39 = 4,946.45/x
  3. Step 3: Cross multiply
    6,699.48x = 10,028.39 × 4,946.45
  4. Step 4: Simplify right side
    6,699.48x = 49,604,854.84
  5. Step 5: Solve for x
    x = 49,604,854.84/6,699.48
  6. Step 6: Final answer
    x = 7,404.28

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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.