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Finding the Fourth Proportional to 11,483.84, 15,835.20 and 8,341.76

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Solution

The fourth proportional to 11,483.84, 15,835.20 and 8,341.76 is: 11,502.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,483.84 : 15,835.20 = 8,341.76 : x
  2. Step 2: Convert to fraction form
    11,483.84/15,835.20 = 8,341.76/x
  3. Step 3: Cross multiply
    11,483.84x = 15,835.20 × 8,341.76
  4. Step 4: Simplify right side
    11,483.84x = 132,093,437.95
  5. Step 5: Solve for x
    x = 132,093,437.95/11,483.84
  6. Step 6: Final answer
    x = 11,502.55

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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.