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Finding the Fourth Proportional to 4,658.01, 6,420.67 and 3,662.01

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Solution

The fourth proportional to 4,658.01, 6,420.67 and 3,662.01 is: 5,047.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.01 : 6,420.67 = 3,662.01 : x
  2. Step 2: Convert to fraction form
    4,658.01/6,420.67 = 3,662.01/x
  3. Step 3: Cross multiply
    4,658.01x = 6,420.67 × 3,662.01
  4. Step 4: Simplify right side
    4,658.01x = 23,512,548.59
  5. Step 5: Solve for x
    x = 23,512,548.59/4,658.01
  6. Step 6: Final answer
    x = 5,047.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.