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Finding the Fourth Proportional to 7,056.76, 9,733.42 and 6,825.08

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Solution

The fourth proportional to 7,056.76, 9,733.42 and 6,825.08 is: 9,413.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,056.76 : 9,733.42 = 6,825.08 : x
  2. Step 2: Convert to fraction form
    7,056.76/9,733.42 = 6,825.08/x
  3. Step 3: Cross multiply
    7,056.76x = 9,733.42 × 6,825.08
  4. Step 4: Simplify right side
    7,056.76x = 66,431,370.17
  5. Step 5: Solve for x
    x = 66,431,370.17/7,056.76
  6. Step 6: Final answer
    x = 9,413.86

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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.