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Finding the Fourth Proportional to 9,857.40, 14,783.94 and 2,837.40

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Solution

The fourth proportional to 9,857.40, 14,783.94 and 2,837.40 is: 4,255.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.40 : 14,783.94 = 2,837.40 : x
  2. Step 2: Convert to fraction form
    9,857.40/14,783.94 = 2,837.40/x
  3. Step 3: Cross multiply
    9,857.40x = 14,783.94 × 2,837.40
  4. Step 4: Simplify right side
    9,857.40x = 41,947,951.36
  5. Step 5: Solve for x
    x = 41,947,951.36/9,857.40
  6. Step 6: Final answer
    x = 4,255.48

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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.