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Finding the Fourth Proportional to 11,173.84, 15,416.02 and 6,635.49

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Solution

The fourth proportional to 11,173.84, 15,416.02 and 6,635.49 is: 9,154.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,173.84 : 15,416.02 = 6,635.49 : x
  2. Step 2: Convert to fraction form
    11,173.84/15,416.02 = 6,635.49/x
  3. Step 3: Cross multiply
    11,173.84x = 15,416.02 × 6,635.49
  4. Step 4: Simplify right side
    11,173.84x = 102,292,846.55
  5. Step 5: Solve for x
    x = 102,292,846.55/11,173.84
  6. Step 6: Final answer
    x = 9,154.67

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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.