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Finding the Fourth Proportional to 6,850.56, 10,275.88 and 1,656.44

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Solution

The fourth proportional to 6,850.56, 10,275.88 and 1,656.44 is: 2,484.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850.56 : 10,275.88 = 1,656.44 : x
  2. Step 2: Convert to fraction form
    6,850.56/10,275.88 = 1,656.44/x
  3. Step 3: Cross multiply
    6,850.56x = 10,275.88 × 1,656.44
  4. Step 4: Simplify right side
    6,850.56x = 17,021,378.67
  5. Step 5: Solve for x
    x = 17,021,378.67/6,850.56
  6. Step 6: Final answer
    x = 2,484.67

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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.