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Finding the Fourth Proportional to 11,858.52, 16,317.54 and 11,497.80

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Solution

The fourth proportional to 11,858.52, 16,317.54 and 11,497.80 is: 15,821.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,858.52 : 16,317.54 = 11,497.80 : x
  2. Step 2: Convert to fraction form
    11,858.52/16,317.54 = 11,497.80/x
  3. Step 3: Cross multiply
    11,858.52x = 16,317.54 × 11,497.80
  4. Step 4: Simplify right side
    11,858.52x = 187,615,811.41
  5. Step 5: Solve for x
    x = 187,615,811.41/11,858.52
  6. Step 6: Final answer
    x = 15,821.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.