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Finding the Fourth Proportional to 7,106.63, 10,645.97 and 6,702.03

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Solution

The fourth proportional to 7,106.63, 10,645.97 and 6,702.03 is: 10,039.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.63 : 10,645.97 = 6,702.03 : x
  2. Step 2: Convert to fraction form
    7,106.63/10,645.97 = 6,702.03/x
  3. Step 3: Cross multiply
    7,106.63x = 10,645.97 × 6,702.03
  4. Step 4: Simplify right side
    7,106.63x = 71,349,576.81
  5. Step 5: Solve for x
    x = 71,349,576.81/7,106.63
  6. Step 6: Final answer
    x = 10,039.87

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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.