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Finding the Fourth Proportional to 3,282.14, 4,923.22 and 973.64

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Solution

The fourth proportional to 3,282.14, 4,923.22 and 973.64 is: 1,460.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.14 : 4,923.22 = 973.64 : x
  2. Step 2: Convert to fraction form
    3,282.14/4,923.22 = 973.64/x
  3. Step 3: Cross multiply
    3,282.14x = 4,923.22 × 973.64
  4. Step 4: Simplify right side
    3,282.14x = 4,793,443.92
  5. Step 5: Solve for x
    x = 4,793,443.92/3,282.14
  6. Step 6: Final answer
    x = 1,460.46

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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.