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Finding the Fourth Proportional to 6,546.88, 9,826.50 and 4,357.15

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Solution

The fourth proportional to 6,546.88, 9,826.50 and 4,357.15 is: 6,539.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.88 : 9,826.50 = 4,357.15 : x
  2. Step 2: Convert to fraction form
    6,546.88/9,826.50 = 4,357.15/x
  3. Step 3: Cross multiply
    6,546.88x = 9,826.50 × 4,357.15
  4. Step 4: Simplify right side
    6,546.88x = 42,815,526.25
  5. Step 5: Solve for x
    x = 42,815,526.25/6,546.88
  6. Step 6: Final answer
    x = 6,539.84

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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.