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Finding the Fourth Proportional to 15,196.94, 20,972.58 and 8,484.22

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Solution

The fourth proportional to 15,196.94, 20,972.58 and 8,484.22 is: 11,708.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,196.94 : 20,972.58 = 8,484.22 : x
  2. Step 2: Convert to fraction form
    15,196.94/20,972.58 = 8,484.22/x
  3. Step 3: Cross multiply
    15,196.94x = 20,972.58 × 8,484.22
  4. Step 4: Simplify right side
    15,196.94x = 177,935,877.82
  5. Step 5: Solve for x
    x = 177,935,877.82/15,196.94
  6. Step 6: Final answer
    x = 11,708.67

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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.