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Finding the Fourth Proportional to 4,193.75, 6,292.00 and 2,245.50

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Solution

The fourth proportional to 4,193.75, 6,292.00 and 2,245.50 is: 3,368.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193.75 : 6,292.00 = 2,245.50 : x
  2. Step 2: Convert to fraction form
    4,193.75/6,292.00 = 2,245.50/x
  3. Step 3: Cross multiply
    4,193.75x = 6,292.00 × 2,245.50
  4. Step 4: Simplify right side
    4,193.75x = 14,128,688.81
  5. Step 5: Solve for x
    x = 14,128,688.81/4,193.75
  6. Step 6: Final answer
    x = 3,368.98

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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.