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Finding the Fourth Proportional to 11,641.87, 16,058.95 and 8,451.42

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Solution

The fourth proportional to 11,641.87, 16,058.95 and 8,451.42 is: 11,658.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.87 : 16,058.95 = 8,451.42 : x
  2. Step 2: Convert to fraction form
    11,641.87/16,058.95 = 8,451.42/x
  3. Step 3: Cross multiply
    11,641.87x = 16,058.95 × 8,451.42
  4. Step 4: Simplify right side
    11,641.87x = 135,720,931.21
  5. Step 5: Solve for x
    x = 135,720,931.21/11,641.87
  6. Step 6: Final answer
    x = 11,658.00

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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.