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Finding the Fourth Proportional to 6,548.59, 9,823.29 and 3,258.37

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Solution

The fourth proportional to 6,548.59, 9,823.29 and 3,258.37 is: 4,887.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.59 : 9,823.29 = 3,258.37 : x
  2. Step 2: Convert to fraction form
    6,548.59/9,823.29 = 3,258.37/x
  3. Step 3: Cross multiply
    6,548.59x = 9,823.29 × 3,258.37
  4. Step 4: Simplify right side
    6,548.59x = 32,007,888.88
  5. Step 5: Solve for x
    x = 32,007,888.88/6,548.59
  6. Step 6: Final answer
    x = 4,887.75

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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.