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Finding the Fourth Proportional to 6,548.88, 9,828.45 and 2,656.02

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Solution

The fourth proportional to 6,548.88, 9,828.45 and 2,656.02 is: 3,986.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.88 : 9,828.45 = 2,656.02 : x
  2. Step 2: Convert to fraction form
    6,548.88/9,828.45 = 2,656.02/x
  3. Step 3: Cross multiply
    6,548.88x = 9,828.45 × 2,656.02
  4. Step 4: Simplify right side
    6,548.88x = 26,104,559.77
  5. Step 5: Solve for x
    x = 26,104,559.77/6,548.88
  6. Step 6: Final answer
    x = 3,986.11

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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.