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Finding the Fourth Proportional to 11,411.89, 15,748.73 and 6,376.67

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Solution

The fourth proportional to 11,411.89, 15,748.73 and 6,376.67 is: 8,799.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,411.89 : 15,748.73 = 6,376.67 : x
  2. Step 2: Convert to fraction form
    11,411.89/15,748.73 = 6,376.67/x
  3. Step 3: Cross multiply
    11,411.89x = 15,748.73 × 6,376.67
  4. Step 4: Simplify right side
    11,411.89x = 100,424,454.13
  5. Step 5: Solve for x
    x = 100,424,454.13/11,411.89
  6. Step 6: Final answer
    x = 8,799.98

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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.