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Finding the Fourth Proportional to 10,493.13, 15,745.17 and 4,648.38

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Solution

The fourth proportional to 10,493.13, 15,745.17 and 4,648.38 is: 6,975.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.13 : 15,745.17 = 4,648.38 : x
  2. Step 2: Convert to fraction form
    10,493.13/15,745.17 = 4,648.38/x
  3. Step 3: Cross multiply
    10,493.13x = 15,745.17 × 4,648.38
  4. Step 4: Simplify right side
    10,493.13x = 73,189,533.32
  5. Step 5: Solve for x
    x = 73,189,533.32/10,493.13
  6. Step 6: Final answer
    x = 6,975.00

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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.