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Finding the Fourth Proportional to 3,283.72, 4,924.94 and 975.24

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Solution

The fourth proportional to 3,283.72, 4,924.94 and 975.24 is: 1,462.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.72 : 4,924.94 = 975.24 : x
  2. Step 2: Convert to fraction form
    3,283.72/4,924.94 = 975.24/x
  3. Step 3: Cross multiply
    3,283.72x = 4,924.94 × 975.24
  4. Step 4: Simplify right side
    3,283.72x = 4,802,998.49
  5. Step 5: Solve for x
    x = 4,802,998.49/3,283.72
  6. Step 6: Final answer
    x = 1,462.67

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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.