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Finding the Fourth Proportional to 6,409.54, 9,597.84 and 5,310.64

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Solution

The fourth proportional to 6,409.54, 9,597.84 and 5,310.64 is: 7,952.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.54 : 9,597.84 = 5,310.64 : x
  2. Step 2: Convert to fraction form
    6,409.54/9,597.84 = 5,310.64/x
  3. Step 3: Cross multiply
    6,409.54x = 9,597.84 × 5,310.64
  4. Step 4: Simplify right side
    6,409.54x = 50,970,673.02
  5. Step 5: Solve for x
    x = 50,970,673.02/6,409.54
  6. Step 6: Final answer
    x = 7,952.31

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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.