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Finding the Fourth Proportional to 6,954.52, 9,597.32 and 3,810.64

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Solution

The fourth proportional to 6,954.52, 9,597.32 and 3,810.64 is: 5,258.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954.52 : 9,597.32 = 3,810.64 : x
  2. Step 2: Convert to fraction form
    6,954.52/9,597.32 = 3,810.64/x
  3. Step 3: Cross multiply
    6,954.52x = 9,597.32 × 3,810.64
  4. Step 4: Simplify right side
    6,954.52x = 36,571,931.48
  5. Step 5: Solve for x
    x = 36,571,931.48/6,954.52
  6. Step 6: Final answer
    x = 5,258.73

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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.