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Finding the Fourth Proportional to 4,055.49, 6,083.23 and 977.49

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Solution

The fourth proportional to 4,055.49, 6,083.23 and 977.49 is: 1,466.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,055.49 : 6,083.23 = 977.49 : x
  2. Step 2: Convert to fraction form
    4,055.49/6,083.23 = 977.49/x
  3. Step 3: Cross multiply
    4,055.49x = 6,083.23 × 977.49
  4. Step 4: Simplify right side
    4,055.49x = 5,946,296.49
  5. Step 5: Solve for x
    x = 5,946,296.49/4,055.49
  6. Step 6: Final answer
    x = 1,466.23

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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.