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Finding the Fourth Proportional to 6,405.60, 9,608.40 and 1,788.60

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Solution

The fourth proportional to 6,405.60, 9,608.40 and 1,788.60 is: 2,682.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.60 : 9,608.40 = 1,788.60 : x
  2. Step 2: Convert to fraction form
    6,405.60/9,608.40 = 1,788.60/x
  3. Step 3: Cross multiply
    6,405.60x = 9,608.40 × 1,788.60
  4. Step 4: Simplify right side
    6,405.60x = 17,185,584.24
  5. Step 5: Solve for x
    x = 17,185,584.24/6,405.60
  6. Step 6: Final answer
    x = 2,682.90

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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.