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Finding the Fourth Proportional to 5,083.69, 7,663.64 and 4,745.01

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Solution

The fourth proportional to 5,083.69, 7,663.64 and 4,745.01 is: 7,153.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,083.69 : 7,663.64 = 4,745.01 : x
  2. Step 2: Convert to fraction form
    5,083.69/7,663.64 = 4,745.01/x
  3. Step 3: Cross multiply
    5,083.69x = 7,663.64 × 4,745.01
  4. Step 4: Simplify right side
    5,083.69x = 36,364,048.44
  5. Step 5: Solve for x
    x = 36,364,048.44/5,083.69
  6. Step 6: Final answer
    x = 7,153.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.