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Finding the Fourth Proportional to 19,883.94, 29,825.73 and 9,464.10

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Solution

The fourth proportional to 19,883.94, 29,825.73 and 9,464.10 is: 14,196.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,883.94 : 29,825.73 = 9,464.10 : x
  2. Step 2: Convert to fraction form
    19,883.94/29,825.73 = 9,464.10/x
  3. Step 3: Cross multiply
    19,883.94x = 29,825.73 × 9,464.10
  4. Step 4: Simplify right side
    19,883.94x = 282,273,691.29
  5. Step 5: Solve for x
    x = 282,273,691.29/19,883.94
  6. Step 6: Final answer
    x = 14,196.06

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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.