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Finding the Fourth Proportional to 12,596.52, 18,893.46 and 3,831.50

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Solution

The fourth proportional to 12,596.52, 18,893.46 and 3,831.50 is: 5,746.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596.52 : 18,893.46 = 3,831.50 : x
  2. Step 2: Convert to fraction form
    12,596.52/18,893.46 = 3,831.50/x
  3. Step 3: Cross multiply
    12,596.52x = 18,893.46 × 3,831.50
  4. Step 4: Simplify right side
    12,596.52x = 72,390,291.99
  5. Step 5: Solve for x
    x = 72,390,291.99/12,596.52
  6. Step 6: Final answer
    x = 5,746.85

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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.