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Finding the Fourth Proportional to 14,145, 19,520.73 and 7,857.36

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Solution

The fourth proportional to 14,145, 19,520.73 and 7,857.36 is: 10,843.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,145 : 19,520.73 = 7,857.36 : x
  2. Step 2: Convert to fraction form
    14,145/19,520.73 = 7,857.36/x
  3. Step 3: Cross multiply
    14,145x = 19,520.73 × 7,857.36
  4. Step 4: Simplify right side
    14,145x = 153,381,403.07
  5. Step 5: Solve for x
    x = 153,381,403.07/14,145
  6. Step 6: Final answer
    x = 10,843.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.