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Finding the Fourth Proportional to 6,500.95, 8,971.43 and 3,814.10

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Solution

The fourth proportional to 6,500.95, 8,971.43 and 3,814.10 is: 5,263.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.95 : 8,971.43 = 3,814.10 : x
  2. Step 2: Convert to fraction form
    6,500.95/8,971.43 = 3,814.10/x
  3. Step 3: Cross multiply
    6,500.95x = 8,971.43 × 3,814.10
  4. Step 4: Simplify right side
    6,500.95x = 34,217,931.16
  5. Step 5: Solve for x
    x = 34,217,931.16/6,500.95
  6. Step 6: Final answer
    x = 5,263.53

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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.