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Finding the Fourth Proportional to 11,927.58, 16,448.04 and 9,274.02

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Solution

The fourth proportional to 11,927.58, 16,448.04 and 9,274.02 is: 12,788.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,927.58 : 16,448.04 = 9,274.02 : x
  2. Step 2: Convert to fraction form
    11,927.58/16,448.04 = 9,274.02/x
  3. Step 3: Cross multiply
    11,927.58x = 16,448.04 × 9,274.02
  4. Step 4: Simplify right side
    11,927.58x = 152,539,451.92
  5. Step 5: Solve for x
    x = 152,539,451.92/11,927.58
  6. Step 6: Final answer
    x = 12,788.80

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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.