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Finding the Fourth Proportional to 6,953.75, 9,594.73 and 3,970.55

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Solution

The fourth proportional to 6,953.75, 9,594.73 and 3,970.55 is: 5,478.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953.75 : 9,594.73 = 3,970.55 : x
  2. Step 2: Convert to fraction form
    6,953.75/9,594.73 = 3,970.55/x
  3. Step 3: Cross multiply
    6,953.75x = 9,594.73 × 3,970.55
  4. Step 4: Simplify right side
    6,953.75x = 38,096,355.20
  5. Step 5: Solve for x
    x = 38,096,355.20/6,953.75
  6. Step 6: Final answer
    x = 5,478.54

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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.