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Finding the Fourth Proportional to 6,295.56, 9,443.36 and 2,828.76

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Solution

The fourth proportional to 6,295.56, 9,443.36 and 2,828.76 is: 4,243.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.56 : 9,443.36 = 2,828.76 : x
  2. Step 2: Convert to fraction form
    6,295.56/9,443.36 = 2,828.76/x
  3. Step 3: Cross multiply
    6,295.56x = 9,443.36 × 2,828.76
  4. Step 4: Simplify right side
    6,295.56x = 26,712,999.03
  5. Step 5: Solve for x
    x = 26,712,999.03/6,295.56
  6. Step 6: Final answer
    x = 4,243.15

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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.