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Finding the Fourth Proportional to 7,840.26, 11,762.01 and 2,646

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Solution

The fourth proportional to 7,840.26, 11,762.01 and 2,646 is: 3,969.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.26 : 11,762.01 = 2,646 : x
  2. Step 2: Convert to fraction form
    7,840.26/11,762.01 = 2,646/x
  3. Step 3: Cross multiply
    7,840.26x = 11,762.01 × 2,646
  4. Step 4: Simplify right side
    7,840.26x = 31,122,278.46
  5. Step 5: Solve for x
    x = 31,122,278.46/7,840.26
  6. Step 6: Final answer
    x = 3,969.55

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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.