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Finding the Fourth Proportional to 11,854.71, 17,674.02 and 11,551.77

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Solution

The fourth proportional to 11,854.71, 17,674.02 and 11,551.77 is: 17,222.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854.71 : 17,674.02 = 11,551.77 : x
  2. Step 2: Convert to fraction form
    11,854.71/17,674.02 = 11,551.77/x
  3. Step 3: Cross multiply
    11,854.71x = 17,674.02 × 11,551.77
  4. Step 4: Simplify right side
    11,854.71x = 204,166,214.02
  5. Step 5: Solve for x
    x = 204,166,214.02/11,854.71
  6. Step 6: Final answer
    x = 17,222.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.