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Finding the Fourth Proportional to 10,734, 14,813.13 and 6,018.59

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Solution

The fourth proportional to 10,734, 14,813.13 and 6,018.59 is: 8,305.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,734 : 14,813.13 = 6,018.59 : x
  2. Step 2: Convert to fraction form
    10,734/14,813.13 = 6,018.59/x
  3. Step 3: Cross multiply
    10,734x = 14,813.13 × 6,018.59
  4. Step 4: Simplify right side
    10,734x = 89,154,082.02
  5. Step 5: Solve for x
    x = 89,154,082.02/10,734
  6. Step 6: Final answer
    x = 8,305.77

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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.