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Finding the Fourth Proportional to 5,194.44, 7,754.64 and 5,012.16

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Solution

The fourth proportional to 5,194.44, 7,754.64 and 5,012.16 is: 7,482.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.44 : 7,754.64 = 5,012.16 : x
  2. Step 2: Convert to fraction form
    5,194.44/7,754.64 = 5,012.16/x
  3. Step 3: Cross multiply
    5,194.44x = 7,754.64 × 5,012.16
  4. Step 4: Simplify right side
    5,194.44x = 38,867,496.42
  5. Step 5: Solve for x
    x = 38,867,496.42/5,194.44
  6. Step 6: Final answer
    x = 7,482.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.