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Finding the Fourth Proportional to 9,807.44, 14,711.27 and 3,885.77

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Solution

The fourth proportional to 9,807.44, 14,711.27 and 3,885.77 is: 5,828.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.44 : 14,711.27 = 3,885.77 : x
  2. Step 2: Convert to fraction form
    9,807.44/14,711.27 = 3,885.77/x
  3. Step 3: Cross multiply
    9,807.44x = 14,711.27 × 3,885.77
  4. Step 4: Simplify right side
    9,807.44x = 57,164,546.23
  5. Step 5: Solve for x
    x = 57,164,546.23/9,807.44
  6. Step 6: Final answer
    x = 5,828.69

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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.