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Finding the Fourth Proportional to 5.46, 7.56 and 5.19

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Solution

The fourth proportional to 5.46, 7.56 and 5.19 is: 7.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.46 : 7.56 = 5.19 : x
  2. Step 2: Convert to fraction form
    5.46/7.56 = 5.19/x
  3. Step 3: Cross multiply
    5.46x = 7.56 × 5.19
  4. Step 4: Simplify right side
    5.46x = 39.24
  5. Step 5: Solve for x
    x = 39.24/5.46
  6. Step 6: Final answer
    x = 7.19

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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.