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Finding the Fourth Proportional to 7,662.39, 11,492.20 and 2,114.35

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Solution

The fourth proportional to 7,662.39, 11,492.20 and 2,114.35 is: 3,171.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.39 : 11,492.20 = 2,114.35 : x
  2. Step 2: Convert to fraction form
    7,662.39/11,492.20 = 2,114.35/x
  3. Step 3: Cross multiply
    7,662.39x = 11,492.20 × 2,114.35
  4. Step 4: Simplify right side
    7,662.39x = 24,298,533.07
  5. Step 5: Solve for x
    x = 24,298,533.07/7,662.39
  6. Step 6: Final answer
    x = 3,171.14

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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.