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Finding the Fourth Proportional to 9,861.77, 14,769.08 and 5,689.13

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Solution

The fourth proportional to 9,861.77, 14,769.08 and 5,689.13 is: 8,520.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,861.77 : 14,769.08 = 5,689.13 : x
  2. Step 2: Convert to fraction form
    9,861.77/14,769.08 = 5,689.13/x
  3. Step 3: Cross multiply
    9,861.77x = 14,769.08 × 5,689.13
  4. Step 4: Simplify right side
    9,861.77x = 84,023,216.10
  5. Step 5: Solve for x
    x = 84,023,216.10/9,861.77
  6. Step 6: Final answer
    x = 8,520.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.