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Finding the Fourth Proportional to 7,137.66, 9,835.08 and 6,071.70

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Solution

The fourth proportional to 7,137.66, 9,835.08 and 6,071.70 is: 8,366.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.66 : 9,835.08 = 6,071.70 : x
  2. Step 2: Convert to fraction form
    7,137.66/9,835.08 = 6,071.70/x
  3. Step 3: Cross multiply
    7,137.66x = 9,835.08 × 6,071.70
  4. Step 4: Simplify right side
    7,137.66x = 59,715,655.24
  5. Step 5: Solve for x
    x = 59,715,655.24/7,137.66
  6. Step 6: Final answer
    x = 8,366.28

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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.