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Finding the Fourth Proportional to 6,335.96, 9,506.02 and 3,048.63

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Solution

The fourth proportional to 6,335.96, 9,506.02 and 3,048.63 is: 4,573.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.96 : 9,506.02 = 3,048.63 : x
  2. Step 2: Convert to fraction form
    6,335.96/9,506.02 = 3,048.63/x
  3. Step 3: Cross multiply
    6,335.96x = 9,506.02 × 3,048.63
  4. Step 4: Simplify right side
    6,335.96x = 28,980,337.75
  5. Step 5: Solve for x
    x = 28,980,337.75/6,335.96
  6. Step 6: Final answer
    x = 4,573.95

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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.