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Finding the Fourth Proportional to 6,493.50, 9,724.32 and 6,328.26

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Solution

The fourth proportional to 6,493.50, 9,724.32 and 6,328.26 is: 9,476.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.50 : 9,724.32 = 6,328.26 : x
  2. Step 2: Convert to fraction form
    6,493.50/9,724.32 = 6,328.26/x
  3. Step 3: Cross multiply
    6,493.50x = 9,724.32 × 6,328.26
  4. Step 4: Simplify right side
    6,493.50x = 61,538,025.28
  5. Step 5: Solve for x
    x = 61,538,025.28/6,493.50
  6. Step 6: Final answer
    x = 9,476.87

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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.