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Finding the Fourth Proportional to 7,455.60, 11,182.68 and 1,983.60

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Solution

The fourth proportional to 7,455.60, 11,182.68 and 1,983.60 is: 2,975.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,455.60 : 11,182.68 = 1,983.60 : x
  2. Step 2: Convert to fraction form
    7,455.60/11,182.68 = 1,983.60/x
  3. Step 3: Cross multiply
    7,455.60x = 11,182.68 × 1,983.60
  4. Step 4: Simplify right side
    7,455.60x = 22,181,964.05
  5. Step 5: Solve for x
    x = 22,181,964.05/7,455.60
  6. Step 6: Final answer
    x = 2,975.21

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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.