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Finding the Fourth Proportional to 7,906.92, 11,854.60 and 4,570.46

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Solution

The fourth proportional to 7,906.92, 11,854.60 and 4,570.46 is: 6,852.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906.92 : 11,854.60 = 4,570.46 : x
  2. Step 2: Convert to fraction form
    7,906.92/11,854.60 = 4,570.46/x
  3. Step 3: Cross multiply
    7,906.92x = 11,854.60 × 4,570.46
  4. Step 4: Simplify right side
    7,906.92x = 54,180,975.12
  5. Step 5: Solve for x
    x = 54,180,975.12/7,906.92
  6. Step 6: Final answer
    x = 6,852.35

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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.