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Finding the Fourth Proportional to 7,006.94, 10,510.28 and 1,741.96

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Solution

The fourth proportional to 7,006.94, 10,510.28 and 1,741.96 is: 2,612.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.94 : 10,510.28 = 1,741.96 : x
  2. Step 2: Convert to fraction form
    7,006.94/10,510.28 = 1,741.96/x
  3. Step 3: Cross multiply
    7,006.94x = 10,510.28 × 1,741.96
  4. Step 4: Simplify right side
    7,006.94x = 18,308,487.35
  5. Step 5: Solve for x
    x = 18,308,487.35/7,006.94
  6. Step 6: Final answer
    x = 2,612.91

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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.