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Finding the Fourth Proportional to 3,282.36, 4,923.53 and 973.86

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Solution

The fourth proportional to 3,282.36, 4,923.53 and 973.86 is: 1,460.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.36 : 4,923.53 = 973.86 : x
  2. Step 2: Convert to fraction form
    3,282.36/4,923.53 = 973.86/x
  3. Step 3: Cross multiply
    3,282.36x = 4,923.53 × 973.86
  4. Step 4: Simplify right side
    3,282.36x = 4,794,809.25
  5. Step 5: Solve for x
    x = 4,794,809.25/3,282.36
  6. Step 6: Final answer
    x = 1,460.78

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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.