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Finding the Fourth Proportional to 9,857.97, 14,808.83 and 9,546.93

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Solution

The fourth proportional to 9,857.97, 14,808.83 and 9,546.93 is: 14,341.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.97 : 14,808.83 = 9,546.93 : x
  2. Step 2: Convert to fraction form
    9,857.97/14,808.83 = 9,546.93/x
  3. Step 3: Cross multiply
    9,857.97x = 14,808.83 × 9,546.93
  4. Step 4: Simplify right side
    9,857.97x = 141,378,815.66
  5. Step 5: Solve for x
    x = 141,378,815.66/9,857.97
  6. Step 6: Final answer
    x = 14,341.57

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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.