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Finding the Fourth Proportional to 9,685.93, 13,374.46 and 7,893.67

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Solution

The fourth proportional to 9,685.93, 13,374.46 and 7,893.67 is: 10,899.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.93 : 13,374.46 = 7,893.67 : x
  2. Step 2: Convert to fraction form
    9,685.93/13,374.46 = 7,893.67/x
  3. Step 3: Cross multiply
    9,685.93x = 13,374.46 × 7,893.67
  4. Step 4: Simplify right side
    9,685.93x = 105,573,573.67
  5. Step 5: Solve for x
    x = 105,573,573.67/9,685.93
  6. Step 6: Final answer
    x = 10,899.68

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1.5x scale

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.