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Finding the Fourth Proportional to 7,001.70, 10,506.24 and 3,106.50

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Solution

The fourth proportional to 7,001.70, 10,506.24 and 3,106.50 is: 4,661.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.70 : 10,506.24 = 3,106.50 : x
  2. Step 2: Convert to fraction form
    7,001.70/10,506.24 = 3,106.50/x
  3. Step 3: Cross multiply
    7,001.70x = 10,506.24 × 3,106.50
  4. Step 4: Simplify right side
    7,001.70x = 32,637,634.56
  5. Step 5: Solve for x
    x = 32,637,634.56/7,001.70
  6. Step 6: Final answer
    x = 4,661.39

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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.