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Finding the Fourth Proportional to 6,994, 10,476.93 and 3,240.52

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Solution

The fourth proportional to 6,994, 10,476.93 and 3,240.52 is: 4,854.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994 : 10,476.93 = 3,240.52 : x
  2. Step 2: Convert to fraction form
    6,994/10,476.93 = 3,240.52/x
  3. Step 3: Cross multiply
    6,994x = 10,476.93 × 3,240.52
  4. Step 4: Simplify right side
    6,994x = 33,950,701.20
  5. Step 5: Solve for x
    x = 33,950,701.20/6,994
  6. Step 6: Final answer
    x = 4,854.26

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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.