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Finding the Fourth Proportional to 7,071.56, 10,607.52 and 2,454.56

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Solution

The fourth proportional to 7,071.56, 10,607.52 and 2,454.56 is: 3,681.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.56 : 10,607.52 = 2,454.56 : x
  2. Step 2: Convert to fraction form
    7,071.56/10,607.52 = 2,454.56/x
  3. Step 3: Cross multiply
    7,071.56x = 10,607.52 × 2,454.56
  4. Step 4: Simplify right side
    7,071.56x = 26,036,794.29
  5. Step 5: Solve for x
    x = 26,036,794.29/7,071.56
  6. Step 6: Final answer
    x = 3,681.90

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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.