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Finding the Fourth Proportional to 7,071.77, 9,751.04 and 4,516.17

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Solution

The fourth proportional to 7,071.77, 9,751.04 and 4,516.17 is: 6,227.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.77 : 9,751.04 = 4,516.17 : x
  2. Step 2: Convert to fraction form
    7,071.77/9,751.04 = 4,516.17/x
  3. Step 3: Cross multiply
    7,071.77x = 9,751.04 × 4,516.17
  4. Step 4: Simplify right side
    7,071.77x = 44,037,312.11
  5. Step 5: Solve for x
    x = 44,037,312.11/7,071.77
  6. Step 6: Final answer
    x = 6,227.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.