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Finding the Fourth Proportional to 11,788.71, 16,262.84 and 7,310.84

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Solution

The fourth proportional to 11,788.71, 16,262.84 and 7,310.84 is: 10,085.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,788.71 : 16,262.84 = 7,310.84 : x
  2. Step 2: Convert to fraction form
    11,788.71/16,262.84 = 7,310.84/x
  3. Step 3: Cross multiply
    11,788.71x = 16,262.84 × 7,310.84
  4. Step 4: Simplify right side
    11,788.71x = 118,894,903.32
  5. Step 5: Solve for x
    x = 118,894,903.32/11,788.71
  6. Step 6: Final answer
    x = 10,085.49

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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.