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Finding the Fourth Proportional to 6,093, 8,405.10 and 4,599.36

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Solution

The fourth proportional to 6,093, 8,405.10 and 4,599.36 is: 6,344.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093 : 8,405.10 = 4,599.36 : x
  2. Step 2: Convert to fraction form
    6,093/8,405.10 = 4,599.36/x
  3. Step 3: Cross multiply
    6,093x = 8,405.10 × 4,599.36
  4. Step 4: Simplify right side
    6,093x = 38,658,080.74
  5. Step 5: Solve for x
    x = 38,658,080.74/6,093
  6. Step 6: Final answer
    x = 6,344.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.