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Finding the Fourth Proportional to 7,405.63, 10,219.77 and 4,093.63

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Solution

The fourth proportional to 7,405.63, 10,219.77 and 4,093.63 is: 5,649.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,405.63 : 10,219.77 = 4,093.63 : x
  2. Step 2: Convert to fraction form
    7,405.63/10,219.77 = 4,093.63/x
  3. Step 3: Cross multiply
    7,405.63x = 10,219.77 × 4,093.63
  4. Step 4: Simplify right side
    7,405.63x = 41,835,885.50
  5. Step 5: Solve for x
    x = 41,835,885.50/7,405.63
  6. Step 6: Final answer
    x = 5,649.20

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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.