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Finding the Fourth Proportional to 6,311.16, 8,701.70 and 5,749.29

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Solution

The fourth proportional to 6,311.16, 8,701.70 and 5,749.29 is: 7,927.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.16 : 8,701.70 = 5,749.29 : x
  2. Step 2: Convert to fraction form
    6,311.16/8,701.70 = 5,749.29/x
  3. Step 3: Cross multiply
    6,311.16x = 8,701.70 × 5,749.29
  4. Step 4: Simplify right side
    6,311.16x = 50,028,568.05
  5. Step 5: Solve for x
    x = 50,028,568.05/6,311.16
  6. Step 6: Final answer
    x = 7,927.00

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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.