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Finding the Fourth Proportional to 6,449.95, 8,834.22 and 6,071.68

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Solution

The fourth proportional to 6,449.95, 8,834.22 and 6,071.68 is: 8,316.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.95 : 8,834.22 = 6,071.68 : x
  2. Step 2: Convert to fraction form
    6,449.95/8,834.22 = 6,071.68/x
  3. Step 3: Cross multiply
    6,449.95x = 8,834.22 × 6,071.68
  4. Step 4: Simplify right side
    6,449.95x = 53,638,556.89
  5. Step 5: Solve for x
    x = 53,638,556.89/6,449.95
  6. Step 6: Final answer
    x = 8,316.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.