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Finding the Fourth Proportional to 27,604.60, 41,406.90 and 6,828.10

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Solution

The fourth proportional to 27,604.60, 41,406.90 and 6,828.10 is: 10,242.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,604.60 : 41,406.90 = 6,828.10 : x
  2. Step 2: Convert to fraction form
    27,604.60/41,406.90 = 6,828.10/x
  3. Step 3: Cross multiply
    27,604.60x = 41,406.90 × 6,828.10
  4. Step 4: Simplify right side
    27,604.60x = 282,730,453.89
  5. Step 5: Solve for x
    x = 282,730,453.89/27,604.60
  6. Step 6: Final answer
    x = 10,242.15

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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.