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Finding the Fourth Proportional to 6,954.64, 9,596.46 and 3,970.28

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Solution

The fourth proportional to 6,954.64, 9,596.46 and 3,970.28 is: 5,478.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954.64 : 9,596.46 = 3,970.28 : x
  2. Step 2: Convert to fraction form
    6,954.64/9,596.46 = 3,970.28/x
  3. Step 3: Cross multiply
    6,954.64x = 9,596.46 × 3,970.28
  4. Step 4: Simplify right side
    6,954.64x = 38,100,633.21
  5. Step 5: Solve for x
    x = 38,100,633.21/6,954.64
  6. Step 6: Final answer
    x = 5,478.45

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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.