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Finding the Fourth Proportional to 7,056, 9,740.97 and 4,821.03

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Solution

The fourth proportional to 7,056, 9,740.97 and 4,821.03 is: 6,655.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,056 : 9,740.97 = 4,821.03 : x
  2. Step 2: Convert to fraction form
    7,056/9,740.97 = 4,821.03/x
  3. Step 3: Cross multiply
    7,056x = 9,740.97 × 4,821.03
  4. Step 4: Simplify right side
    7,056x = 46,961,508.60
  5. Step 5: Solve for x
    x = 46,961,508.60/7,056
  6. Step 6: Final answer
    x = 6,655.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.