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Finding the Fourth Proportional to 6,399.60, 9,599.04 and 1,782.60

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Solution

The fourth proportional to 6,399.60, 9,599.04 and 1,782.60 is: 2,673.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,399.60 : 9,599.04 = 1,782.60 : x
  2. Step 2: Convert to fraction form
    6,399.60/9,599.04 = 1,782.60/x
  3. Step 3: Cross multiply
    6,399.60x = 9,599.04 × 1,782.60
  4. Step 4: Simplify right side
    6,399.60x = 17,111,248.70
  5. Step 5: Solve for x
    x = 17,111,248.70/6,399.60
  6. Step 6: Final answer
    x = 2,673.80

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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.