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Finding the Fourth Proportional to 10,583.05, 14,598 and 6,811.15

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Solution

The fourth proportional to 10,583.05, 14,598 and 6,811.15 is: 9,395.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,583.05 : 14,598 = 6,811.15 : x
  2. Step 2: Convert to fraction form
    10,583.05/14,598 = 6,811.15/x
  3. Step 3: Cross multiply
    10,583.05x = 14,598 × 6,811.15
  4. Step 4: Simplify right side
    10,583.05x = 99,429,167.70
  5. Step 5: Solve for x
    x = 99,429,167.70/10,583.05
  6. Step 6: Final answer
    x = 9,395.13

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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.