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Finding the Fourth Proportional to 9,901.71, 14,854.21 and 3,661.74

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Solution

The fourth proportional to 9,901.71, 14,854.21 and 3,661.74 is: 5,493.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.71 : 14,854.21 = 3,661.74 : x
  2. Step 2: Convert to fraction form
    9,901.71/14,854.21 = 3,661.74/x
  3. Step 3: Cross multiply
    9,901.71x = 14,854.21 × 3,661.74
  4. Step 4: Simplify right side
    9,901.71x = 54,392,245.77
  5. Step 5: Solve for x
    x = 54,392,245.77/9,901.71
  6. Step 6: Final answer
    x = 5,493.22

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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.