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Finding the Fourth Proportional to 9,853.86, 14,782.89 and 2,833.81

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Solution

The fourth proportional to 9,853.86, 14,782.89 and 2,833.81 is: 4,251.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.86 : 14,782.89 = 2,833.81 : x
  2. Step 2: Convert to fraction form
    9,853.86/14,782.89 = 2,833.81/x
  3. Step 3: Cross multiply
    9,853.86x = 14,782.89 × 2,833.81
  4. Step 4: Simplify right side
    9,853.86x = 41,891,901.51
  5. Step 5: Solve for x
    x = 41,891,901.51/9,853.86
  6. Step 6: Final answer
    x = 4,251.32

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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.