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Finding the Fourth Proportional to 13,097.96, 18,081.66 and 8,928.08

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Solution

The fourth proportional to 13,097.96, 18,081.66 and 8,928.08 is: 12,325.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097.96 : 18,081.66 = 8,928.08 : x
  2. Step 2: Convert to fraction form
    13,097.96/18,081.66 = 8,928.08/x
  3. Step 3: Cross multiply
    13,097.96x = 18,081.66 × 8,928.08
  4. Step 4: Simplify right side
    13,097.96x = 161,434,507.01
  5. Step 5: Solve for x
    x = 161,434,507.01/13,097.96
  6. Step 6: Final answer
    x = 12,325.16

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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.