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Finding the Fourth Proportional to 10,310.37, 14,219.53 and 6,948.77

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Solution

The fourth proportional to 10,310.37, 14,219.53 and 6,948.77 is: 9,583.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,310.37 : 14,219.53 = 6,948.77 : x
  2. Step 2: Convert to fraction form
    10,310.37/14,219.53 = 6,948.77/x
  3. Step 3: Cross multiply
    10,310.37x = 14,219.53 × 6,948.77
  4. Step 4: Simplify right side
    10,310.37x = 98,808,155.01
  5. Step 5: Solve for x
    x = 98,808,155.01/10,310.37
  6. Step 6: Final answer
    x = 9,583.38

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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.