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Finding the Fourth Proportional to 9,734.76, 14,576.94 and 7,091.40

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Solution

The fourth proportional to 9,734.76, 14,576.94 and 7,091.40 is: 10,618.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,734.76 : 14,576.94 = 7,091.40 : x
  2. Step 2: Convert to fraction form
    9,734.76/14,576.94 = 7,091.40/x
  3. Step 3: Cross multiply
    9,734.76x = 14,576.94 × 7,091.40
  4. Step 4: Simplify right side
    9,734.76x = 103,370,912.32
  5. Step 5: Solve for x
    x = 103,370,912.32/9,734.76
  6. Step 6: Final answer
    x = 10,618.74

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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.