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Finding the Fourth Proportional to 11,325.60, 16,978.72 and 4,301.68

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Solution

The fourth proportional to 11,325.60, 16,978.72 and 4,301.68 is: 6,448.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,325.60 : 16,978.72 = 4,301.68 : x
  2. Step 2: Convert to fraction form
    11,325.60/16,978.72 = 4,301.68/x
  3. Step 3: Cross multiply
    11,325.60x = 16,978.72 × 4,301.68
  4. Step 4: Simplify right side
    11,325.60x = 73,037,020.25
  5. Step 5: Solve for x
    x = 73,037,020.25/11,325.60
  6. Step 6: Final answer
    x = 6,448.84

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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.