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Finding the Fourth Proportional to 7,413, 10,230.10 and 4,268.68

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Solution

The fourth proportional to 7,413, 10,230.10 and 4,268.68 is: 5,890.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,413 : 10,230.10 = 4,268.68 : x
  2. Step 2: Convert to fraction form
    7,413/10,230.10 = 4,268.68/x
  3. Step 3: Cross multiply
    7,413x = 10,230.10 × 4,268.68
  4. Step 4: Simplify right side
    7,413x = 43,669,023.27
  5. Step 5: Solve for x
    x = 43,669,023.27/7,413
  6. Step 6: Final answer
    x = 5,890.87

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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.