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Finding the Fourth Proportional to 6,970.56, 10,457.20 and 2,040.28

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Solution

The fourth proportional to 6,970.56, 10,457.20 and 2,040.28 is: 3,060.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.56 : 10,457.20 = 2,040.28 : x
  2. Step 2: Convert to fraction form
    6,970.56/10,457.20 = 2,040.28/x
  3. Step 3: Cross multiply
    6,970.56x = 10,457.20 × 2,040.28
  4. Step 4: Simplify right side
    6,970.56x = 21,335,616.02
  5. Step 5: Solve for x
    x = 21,335,616.02/6,970.56
  6. Step 6: Final answer
    x = 3,060.82

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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.