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Finding the Fourth Proportional to 6,516.84, 9,762.66 and 4,052.64

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Solution

The fourth proportional to 6,516.84, 9,762.66 and 4,052.64 is: 6,071.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.84 : 9,762.66 = 4,052.64 : x
  2. Step 2: Convert to fraction form
    6,516.84/9,762.66 = 4,052.64/x
  3. Step 3: Cross multiply
    6,516.84x = 9,762.66 × 4,052.64
  4. Step 4: Simplify right side
    6,516.84x = 39,564,546.42
  5. Step 5: Solve for x
    x = 39,564,546.42/6,516.84
  6. Step 6: Final answer
    x = 6,071.12

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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.