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Finding the Fourth Proportional to 6,474.70, 8,933.54 and 4,703.22

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Solution

The fourth proportional to 6,474.70, 8,933.54 and 4,703.22 is: 6,489.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.70 : 8,933.54 = 4,703.22 : x
  2. Step 2: Convert to fraction form
    6,474.70/8,933.54 = 4,703.22/x
  3. Step 3: Cross multiply
    6,474.70x = 8,933.54 × 4,703.22
  4. Step 4: Simplify right side
    6,474.70x = 42,016,404.00
  5. Step 5: Solve for x
    x = 42,016,404.00/6,474.70
  6. Step 6: Final answer
    x = 6,489.32

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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.