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Finding the Fourth Proportional to 11,643.01, 17,464.56 and 6,097.99

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Solution

The fourth proportional to 11,643.01, 17,464.56 and 6,097.99 is: 9,147.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.01 : 17,464.56 = 6,097.99 : x
  2. Step 2: Convert to fraction form
    11,643.01/17,464.56 = 6,097.99/x
  3. Step 3: Cross multiply
    11,643.01x = 17,464.56 × 6,097.99
  4. Step 4: Simplify right side
    11,643.01x = 106,498,712.23
  5. Step 5: Solve for x
    x = 106,498,712.23/11,643.01
  6. Step 6: Final answer
    x = 9,147.01

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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.