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Finding the Fourth Proportional to 10,400.90, 15,601.35 and 9,914.90

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Solution

The fourth proportional to 10,400.90, 15,601.35 and 9,914.90 is: 14,872.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,400.90 : 15,601.35 = 9,914.90 : x
  2. Step 2: Convert to fraction form
    10,400.90/15,601.35 = 9,914.90/x
  3. Step 3: Cross multiply
    10,400.90x = 15,601.35 × 9,914.90
  4. Step 4: Simplify right side
    10,400.90x = 154,685,825.12
  5. Step 5: Solve for x
    x = 154,685,825.12/10,400.90
  6. Step 6: Final answer
    x = 14,872.35

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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.