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Finding the Fourth Proportional to 7,154.92, 10,735.46 and 3,459.93

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Solution

The fourth proportional to 7,154.92, 10,735.46 and 3,459.93 is: 5,191.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.92 : 10,735.46 = 3,459.93 : x
  2. Step 2: Convert to fraction form
    7,154.92/10,735.46 = 3,459.93/x
  3. Step 3: Cross multiply
    7,154.92x = 10,735.46 × 3,459.93
  4. Step 4: Simplify right side
    7,154.92x = 37,143,940.12
  5. Step 5: Solve for x
    x = 37,143,940.12/7,154.92
  6. Step 6: Final answer
    x = 5,191.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.