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Finding the Fourth Proportional to 6,901.76, 10,350.80 and 3,005.28

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Solution

The fourth proportional to 6,901.76, 10,350.80 and 3,005.28 is: 4,507.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.76 : 10,350.80 = 3,005.28 : x
  2. Step 2: Convert to fraction form
    6,901.76/10,350.80 = 3,005.28/x
  3. Step 3: Cross multiply
    6,901.76x = 10,350.80 × 3,005.28
  4. Step 4: Simplify right side
    6,901.76x = 31,107,052.22
  5. Step 5: Solve for x
    x = 31,107,052.22/6,901.76
  6. Step 6: Final answer
    x = 4,507.12

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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.