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Finding the Fourth Proportional to 12,433.60, 17,158.32 and 6,844.60

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Solution

The fourth proportional to 12,433.60, 17,158.32 and 6,844.60 is: 9,445.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,433.60 : 17,158.32 = 6,844.60 : x
  2. Step 2: Convert to fraction form
    12,433.60/17,158.32 = 6,844.60/x
  3. Step 3: Cross multiply
    12,433.60x = 17,158.32 × 6,844.60
  4. Step 4: Simplify right side
    12,433.60x = 117,441,837.07
  5. Step 5: Solve for x
    x = 117,441,837.07/12,433.60
  6. Step 6: Final answer
    x = 9,445.52

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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.