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Finding the Fourth Proportional to 6,472.76, 9,701.04 and 2,770.68

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Solution

The fourth proportional to 6,472.76, 9,701.04 and 2,770.68 is: 4,152.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.76 : 9,701.04 = 2,770.68 : x
  2. Step 2: Convert to fraction form
    6,472.76/9,701.04 = 2,770.68/x
  3. Step 3: Cross multiply
    6,472.76x = 9,701.04 × 2,770.68
  4. Step 4: Simplify right side
    6,472.76x = 26,878,477.51
  5. Step 5: Solve for x
    x = 26,878,477.51/6,472.76
  6. Step 6: Final answer
    x = 4,152.55

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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.