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Finding the Fourth Proportional to 6,359, 9,540.74 and 2,848.72

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Solution

The fourth proportional to 6,359, 9,540.74 and 2,848.72 is: 4,274.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,359 : 9,540.74 = 2,848.72 : x
  2. Step 2: Convert to fraction form
    6,359/9,540.74 = 2,848.72/x
  3. Step 3: Cross multiply
    6,359x = 9,540.74 × 2,848.72
  4. Step 4: Simplify right side
    6,359x = 27,178,896.85
  5. Step 5: Solve for x
    x = 27,178,896.85/6,359
  6. Step 6: Final answer
    x = 4,274.08

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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.