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Finding the Fourth Proportional to 19,797.14, 29,696.06 and 9,261.32

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Solution

The fourth proportional to 19,797.14, 29,696.06 and 9,261.32 is: 13,892.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,797.14 : 29,696.06 = 9,261.32 : x
  2. Step 2: Convert to fraction form
    19,797.14/29,696.06 = 9,261.32/x
  3. Step 3: Cross multiply
    19,797.14x = 29,696.06 × 9,261.32
  4. Step 4: Simplify right side
    19,797.14x = 275,024,714.40
  5. Step 5: Solve for x
    x = 275,024,714.40/19,797.14
  6. Step 6: Final answer
    x = 13,892.14

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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.