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Finding the Fourth Proportional to 10,874.63, 14,894.54 and 10,236.30

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Solution

The fourth proportional to 10,874.63, 14,894.54 and 10,236.30 is: 14,020.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.63 : 14,894.54 = 10,236.30 : x
  2. Step 2: Convert to fraction form
    10,874.63/14,894.54 = 10,236.30/x
  3. Step 3: Cross multiply
    10,874.63x = 14,894.54 × 10,236.30
  4. Step 4: Simplify right side
    10,874.63x = 152,464,928.62
  5. Step 5: Solve for x
    x = 152,464,928.62/10,874.63
  6. Step 6: Final answer
    x = 14,020.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.