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Finding the Fourth Proportional to 16,137.60, 22,268.60 and 9,065.12

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Solution

The fourth proportional to 16,137.60, 22,268.60 and 9,065.12 is: 12,509.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,137.60 : 22,268.60 = 9,065.12 : x
  2. Step 2: Convert to fraction form
    16,137.60/22,268.60 = 9,065.12/x
  3. Step 3: Cross multiply
    16,137.60x = 22,268.60 × 9,065.12
  4. Step 4: Simplify right side
    16,137.60x = 201,867,531.23
  5. Step 5: Solve for x
    x = 201,867,531.23/16,137.60
  6. Step 6: Final answer
    x = 12,509.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.