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Finding the Fourth Proportional to 25,923.94, 38,894.10 and 9,283.57

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Solution

The fourth proportional to 25,923.94, 38,894.10 and 9,283.57 is: 13,928.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,923.94 : 38,894.10 = 9,283.57 : x
  2. Step 2: Convert to fraction form
    25,923.94/38,894.10 = 9,283.57/x
  3. Step 3: Cross multiply
    25,923.94x = 38,894.10 × 9,283.57
  4. Step 4: Simplify right side
    25,923.94x = 361,076,099.94
  5. Step 5: Solve for x
    x = 361,076,099.94/25,923.94
  6. Step 6: Final answer
    x = 13,928.29

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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.