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Finding the Fourth Proportional to 9,665.63, 14,474.70 and 4,719.32

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Solution

The fourth proportional to 9,665.63, 14,474.70 and 4,719.32 is: 7,067.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.63 : 14,474.70 = 4,719.32 : x
  2. Step 2: Convert to fraction form
    9,665.63/14,474.70 = 4,719.32/x
  3. Step 3: Cross multiply
    9,665.63x = 14,474.70 × 4,719.32
  4. Step 4: Simplify right side
    9,665.63x = 68,310,741.20
  5. Step 5: Solve for x
    x = 68,310,741.20/9,665.63
  6. Step 6: Final answer
    x = 7,067.39

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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.