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Finding the Fourth Proportional to 9,662.01, 14,474.58 and 5,208.63

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Solution

The fourth proportional to 9,662.01, 14,474.58 and 5,208.63 is: 7,803.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.01 : 14,474.58 = 5,208.63 : x
  2. Step 2: Convert to fraction form
    9,662.01/14,474.58 = 5,208.63/x
  3. Step 3: Cross multiply
    9,662.01x = 14,474.58 × 5,208.63
  4. Step 4: Simplify right side
    9,662.01x = 75,392,731.63
  5. Step 5: Solve for x
    x = 75,392,731.63/9,662.01
  6. Step 6: Final answer
    x = 7,803.01

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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.