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Finding the Fourth Proportional to 5,896.96, 8,146.06 and 5,364.90

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Solution

The fourth proportional to 5,896.96, 8,146.06 and 5,364.90 is: 7,411.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.96 : 8,146.06 = 5,364.90 : x
  2. Step 2: Convert to fraction form
    5,896.96/8,146.06 = 5,364.90/x
  3. Step 3: Cross multiply
    5,896.96x = 8,146.06 × 5,364.90
  4. Step 4: Simplify right side
    5,896.96x = 43,702,783.88
  5. Step 5: Solve for x
    x = 43,702,783.88/5,896.96
  6. Step 6: Final answer
    x = 7,411.07

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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.