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Finding the Fourth Proportional to 3,474.50, 5,211.74 and 877.64

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Solution

The fourth proportional to 3,474.50, 5,211.74 and 877.64 is: 1,316.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.50 : 5,211.74 = 877.64 : x
  2. Step 2: Convert to fraction form
    3,474.50/5,211.74 = 877.64/x
  3. Step 3: Cross multiply
    3,474.50x = 5,211.74 × 877.64
  4. Step 4: Simplify right side
    3,474.50x = 4,574,031.49
  5. Step 5: Solve for x
    x = 4,574,031.49/3,474.50
  6. Step 6: Final answer
    x = 1,316.46

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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.