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Finding the Fourth Proportional to 12,596.01, 18,895.08 and 3,831

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Solution

The fourth proportional to 12,596.01, 18,895.08 and 3,831 is: 5,746.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596.01 : 18,895.08 = 3,831 : x
  2. Step 2: Convert to fraction form
    12,596.01/18,895.08 = 3,831/x
  3. Step 3: Cross multiply
    12,596.01x = 18,895.08 × 3,831
  4. Step 4: Simplify right side
    12,596.01x = 72,387,051.48
  5. Step 5: Solve for x
    x = 72,387,051.48/12,596.01
  6. Step 6: Final answer
    x = 5,746.82

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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.