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Finding the Fourth Proportional to 7,071.56, 10,607.16 and 3,376.40

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Solution

The fourth proportional to 7,071.56, 10,607.16 and 3,376.40 is: 5,064.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.56 : 10,607.16 = 3,376.40 : x
  2. Step 2: Convert to fraction form
    7,071.56/10,607.16 = 3,376.40/x
  3. Step 3: Cross multiply
    7,071.56x = 10,607.16 × 3,376.40
  4. Step 4: Simplify right side
    7,071.56x = 35,814,015.02
  5. Step 5: Solve for x
    x = 35,814,015.02/7,071.56
  6. Step 6: Final answer
    x = 5,064.51

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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.