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Finding the Fourth Proportional to 35,854.97, 53,782.41 and 10,894.92

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Solution

The fourth proportional to 35,854.97, 53,782.41 and 10,894.92 is: 16,342.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,854.97 : 53,782.41 = 10,894.92 : x
  2. Step 2: Convert to fraction form
    35,854.97/53,782.41 = 10,894.92/x
  3. Step 3: Cross multiply
    35,854.97x = 53,782.41 × 10,894.92
  4. Step 4: Simplify right side
    35,854.97x = 585,955,054.36
  5. Step 5: Solve for x
    x = 585,955,054.36/35,854.97
  6. Step 6: Final answer
    x = 16,342.37

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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.