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Finding the Fourth Proportional to 5,193.76, 7,790.72 and 1,496.32

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Solution

The fourth proportional to 5,193.76, 7,790.72 and 1,496.32 is: 2,244.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.76 : 7,790.72 = 1,496.32 : x
  2. Step 2: Convert to fraction form
    5,193.76/7,790.72 = 1,496.32/x
  3. Step 3: Cross multiply
    5,193.76x = 7,790.72 × 1,496.32
  4. Step 4: Simplify right side
    5,193.76x = 11,657,410.15
  5. Step 5: Solve for x
    x = 11,657,410.15/5,193.76
  6. Step 6: Final answer
    x = 2,244.50

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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.