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Finding the Fourth Proportional to 6,971.45, 10,447.95 and 5,113.87

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Solution

The fourth proportional to 6,971.45, 10,447.95 and 5,113.87 is: 7,664.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.45 : 10,447.95 = 5,113.87 : x
  2. Step 2: Convert to fraction form
    6,971.45/10,447.95 = 5,113.87/x
  3. Step 3: Cross multiply
    6,971.45x = 10,447.95 × 5,113.87
  4. Step 4: Simplify right side
    6,971.45x = 53,429,432.50
  5. Step 5: Solve for x
    x = 53,429,432.50/6,971.45
  6. Step 6: Final answer
    x = 7,664.03

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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.