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Finding the Fourth Proportional to 9,750.84, 14,629.64 and 7,084.92

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Solution

The fourth proportional to 9,750.84, 14,629.64 and 7,084.92 is: 10,629.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.84 : 14,629.64 = 7,084.92 : x
  2. Step 2: Convert to fraction form
    9,750.84/14,629.64 = 7,084.92/x
  3. Step 3: Cross multiply
    9,750.84x = 14,629.64 × 7,084.92
  4. Step 4: Simplify right side
    9,750.84x = 103,649,793.60
  5. Step 5: Solve for x
    x = 103,649,793.60/9,750.84
  6. Step 6: Final answer
    x = 10,629.83

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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.