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Finding the Fourth Proportional to 3,474.45, 5,210.74 and 975.49

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Solution

The fourth proportional to 3,474.45, 5,210.74 and 975.49 is: 1,462.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.45 : 5,210.74 = 975.49 : x
  2. Step 2: Convert to fraction form
    3,474.45/5,210.74 = 975.49/x
  3. Step 3: Cross multiply
    3,474.45x = 5,210.74 × 975.49
  4. Step 4: Simplify right side
    3,474.45x = 5,083,024.76
  5. Step 5: Solve for x
    x = 5,083,024.76/3,474.45
  6. Step 6: Final answer
    x = 1,462.97

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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.