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Finding the Fourth Proportional to 5,965.75, 8,952.75 and 2,070.16

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Solution

The fourth proportional to 5,965.75, 8,952.75 and 2,070.16 is: 3,106.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.75 : 8,952.75 = 2,070.16 : x
  2. Step 2: Convert to fraction form
    5,965.75/8,952.75 = 2,070.16/x
  3. Step 3: Cross multiply
    5,965.75x = 8,952.75 × 2,070.16
  4. Step 4: Simplify right side
    5,965.75x = 18,533,608.38
  5. Step 5: Solve for x
    x = 18,533,608.38/5,965.75
  6. Step 6: Final answer
    x = 3,106.67

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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.