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Finding the Fourth Proportional to 9,984.78, 14,957.73 and 6,511.50

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Solution

The fourth proportional to 9,984.78, 14,957.73 and 6,511.50 is: 9,754.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.78 : 14,957.73 = 6,511.50 : x
  2. Step 2: Convert to fraction form
    9,984.78/14,957.73 = 6,511.50/x
  3. Step 3: Cross multiply
    9,984.78x = 14,957.73 × 6,511.50
  4. Step 4: Simplify right side
    9,984.78x = 97,397,258.90
  5. Step 5: Solve for x
    x = 97,397,258.90/9,984.78
  6. Step 6: Final answer
    x = 9,754.57

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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.