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Finding the Fourth Proportional to 7,196.49, 9,931.14 and 4,052.67

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Solution

The fourth proportional to 7,196.49, 9,931.14 and 4,052.67 is: 5,592.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196.49 : 9,931.14 = 4,052.67 : x
  2. Step 2: Convert to fraction form
    7,196.49/9,931.14 = 4,052.67/x
  3. Step 3: Cross multiply
    7,196.49x = 9,931.14 × 4,052.67
  4. Step 4: Simplify right side
    7,196.49x = 40,247,633.14
  5. Step 5: Solve for x
    x = 40,247,633.14/7,196.49
  6. Step 6: Final answer
    x = 5,592.68

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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.