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Finding the Fourth Proportional to 4,597.56, 6,896.34 and 2,002.32

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Solution

The fourth proportional to 4,597.56, 6,896.34 and 2,002.32 is: 3,003.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.56 : 6,896.34 = 2,002.32 : x
  2. Step 2: Convert to fraction form
    4,597.56/6,896.34 = 2,002.32/x
  3. Step 3: Cross multiply
    4,597.56x = 6,896.34 × 2,002.32
  4. Step 4: Simplify right side
    4,597.56x = 13,808,679.51
  5. Step 5: Solve for x
    x = 13,808,679.51/4,597.56
  6. Step 6: Final answer
    x = 3,003.48

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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.