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Finding the Fourth Proportional to 6,952.56, 10,428.84 and 2,848.56

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Solution

The fourth proportional to 6,952.56, 10,428.84 and 2,848.56 is: 4,272.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.56 : 10,428.84 = 2,848.56 : x
  2. Step 2: Convert to fraction form
    6,952.56/10,428.84 = 2,848.56/x
  3. Step 3: Cross multiply
    6,952.56x = 10,428.84 × 2,848.56
  4. Step 4: Simplify right side
    6,952.56x = 29,707,176.47
  5. Step 5: Solve for x
    x = 29,707,176.47/6,952.56
  6. Step 6: Final answer
    x = 4,272.84

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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.