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Finding the Fourth Proportional to 4,745.63, 6,543.63 and 3,064.82

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Solution

The fourth proportional to 4,745.63, 6,543.63 and 3,064.82 is: 4,226.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.63 : 6,543.63 = 3,064.82 : x
  2. Step 2: Convert to fraction form
    4,745.63/6,543.63 = 3,064.82/x
  3. Step 3: Cross multiply
    4,745.63x = 6,543.63 × 3,064.82
  4. Step 4: Simplify right side
    4,745.63x = 20,055,015.38
  5. Step 5: Solve for x
    x = 20,055,015.38/4,745.63
  6. Step 6: Final answer
    x = 4,226.00

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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.