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Finding the Fourth Proportional to 7,016, 9,682.20 and 4,536.32

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Solution

The fourth proportional to 7,016, 9,682.20 and 4,536.32 is: 6,260.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,016 : 9,682.20 = 4,536.32 : x
  2. Step 2: Convert to fraction form
    7,016/9,682.20 = 4,536.32/x
  3. Step 3: Cross multiply
    7,016x = 9,682.20 × 4,536.32
  4. Step 4: Simplify right side
    7,016x = 43,921,557.50
  5. Step 5: Solve for x
    x = 43,921,557.50/7,016
  6. Step 6: Final answer
    x = 6,260.20

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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.