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Finding the Fourth Proportional to 23,857.29, 35,784.78 and 9,065.07

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Solution

The fourth proportional to 23,857.29, 35,784.78 and 9,065.07 is: 13,597.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,857.29 : 35,784.78 = 9,065.07 : x
  2. Step 2: Convert to fraction form
    23,857.29/35,784.78 = 9,065.07/x
  3. Step 3: Cross multiply
    23,857.29x = 35,784.78 × 9,065.07
  4. Step 4: Simplify right side
    23,857.29x = 324,391,535.63
  5. Step 5: Solve for x
    x = 324,391,535.63/23,857.29
  6. Step 6: Final answer
    x = 13,597.17

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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.