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Finding the Fourth Proportional to 4,055.94, 6,083.91 and 977.94

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Solution

The fourth proportional to 4,055.94, 6,083.91 and 977.94 is: 1,466.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,055.94 : 6,083.91 = 977.94 : x
  2. Step 2: Convert to fraction form
    4,055.94/6,083.91 = 977.94/x
  3. Step 3: Cross multiply
    4,055.94x = 6,083.91 × 977.94
  4. Step 4: Simplify right side
    4,055.94x = 5,949,698.95
  5. Step 5: Solve for x
    x = 5,949,698.95/4,055.94
  6. Step 6: Final answer
    x = 1,466.91

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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.