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Finding the Fourth Proportional to 7,652.06, 10,536.36 and 6,702.38

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Solution

The fourth proportional to 7,652.06, 10,536.36 and 6,702.38 is: 9,228.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652.06 : 10,536.36 = 6,702.38 : x
  2. Step 2: Convert to fraction form
    7,652.06/10,536.36 = 6,702.38/x
  3. Step 3: Cross multiply
    7,652.06x = 10,536.36 × 6,702.38
  4. Step 4: Simplify right side
    7,652.06x = 70,618,688.54
  5. Step 5: Solve for x
    x = 70,618,688.54/7,652.06
  6. Step 6: Final answer
    x = 9,228.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.