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Finding the Fourth Proportional to 10,768.87, 14,861.04 and 6,053.18

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Solution

The fourth proportional to 10,768.87, 14,861.04 and 6,053.18 is: 8,353.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,768.87 : 14,861.04 = 6,053.18 : x
  2. Step 2: Convert to fraction form
    10,768.87/14,861.04 = 6,053.18/x
  3. Step 3: Cross multiply
    10,768.87x = 14,861.04 × 6,053.18
  4. Step 4: Simplify right side
    10,768.87x = 89,956,550.11
  5. Step 5: Solve for x
    x = 89,956,550.11/10,768.87
  6. Step 6: Final answer
    x = 8,353.39

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1.5x scale

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.