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Finding the Fourth Proportional to 11,860.92, 16,368.84 and 7,384.86

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Solution

The fourth proportional to 11,860.92, 16,368.84 and 7,384.86 is: 10,191.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,860.92 : 16,368.84 = 7,384.86 : x
  2. Step 2: Convert to fraction form
    11,860.92/16,368.84 = 7,384.86/x
  3. Step 3: Cross multiply
    11,860.92x = 16,368.84 × 7,384.86
  4. Step 4: Simplify right side
    11,860.92x = 120,881,591.76
  5. Step 5: Solve for x
    x = 120,881,591.76/11,860.92
  6. Step 6: Final answer
    x = 10,191.59

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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.