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Finding the Fourth Proportional to 6,913.16, 10,368.50 and 2,530.68

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Solution

The fourth proportional to 6,913.16, 10,368.50 and 2,530.68 is: 3,795.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,913.16 : 10,368.50 = 2,530.68 : x
  2. Step 2: Convert to fraction form
    6,913.16/10,368.50 = 2,530.68/x
  3. Step 3: Cross multiply
    6,913.16x = 10,368.50 × 2,530.68
  4. Step 4: Simplify right side
    6,913.16x = 26,239,355.58
  5. Step 5: Solve for x
    x = 26,239,355.58/6,913.16
  6. Step 6: Final answer
    x = 3,795.57

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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.