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Finding the Fourth Proportional to 10,313.70, 14,232.99 and 5,598

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Solution

The fourth proportional to 10,313.70, 14,232.99 and 5,598 is: 7,725.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313.70 : 14,232.99 = 5,598 : x
  2. Step 2: Convert to fraction form
    10,313.70/14,232.99 = 5,598/x
  3. Step 3: Cross multiply
    10,313.70x = 14,232.99 × 5,598
  4. Step 4: Simplify right side
    10,313.70x = 79,676,278.02
  5. Step 5: Solve for x
    x = 79,676,278.02/10,313.70
  6. Step 6: Final answer
    x = 7,725.29

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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.