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Finding the Fourth Proportional to 7,206.75, 10,810.71 and 2,276.67

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Solution

The fourth proportional to 7,206.75, 10,810.71 and 2,276.67 is: 3,415.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.75 : 10,810.71 = 2,276.67 : x
  2. Step 2: Convert to fraction form
    7,206.75/10,810.71 = 2,276.67/x
  3. Step 3: Cross multiply
    7,206.75x = 10,810.71 × 2,276.67
  4. Step 4: Simplify right side
    7,206.75x = 24,612,419.14
  5. Step 5: Solve for x
    x = 24,612,419.14/7,206.75
  6. Step 6: Final answer
    x = 3,415.19

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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.