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Finding the Fourth Proportional to 9,602.56, 13,252.04 and 6,410.32

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Solution

The fourth proportional to 9,602.56, 13,252.04 and 6,410.32 is: 8,846.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.56 : 13,252.04 = 6,410.32 : x
  2. Step 2: Convert to fraction form
    9,602.56/13,252.04 = 6,410.32/x
  3. Step 3: Cross multiply
    9,602.56x = 13,252.04 × 6,410.32
  4. Step 4: Simplify right side
    9,602.56x = 84,949,817.05
  5. Step 5: Solve for x
    x = 84,949,817.05/9,602.56
  6. Step 6: Final answer
    x = 8,846.58

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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.