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Finding the Fourth Proportional to 7,146.64, 10,633.46 and 6,968.08

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Solution

The fourth proportional to 7,146.64, 10,633.46 and 6,968.08 is: 10,367.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.64 : 10,633.46 = 6,968.08 : x
  2. Step 2: Convert to fraction form
    7,146.64/10,633.46 = 6,968.08/x
  3. Step 3: Cross multiply
    7,146.64x = 10,633.46 × 6,968.08
  4. Step 4: Simplify right side
    7,146.64x = 74,094,799.96
  5. Step 5: Solve for x
    x = 74,094,799.96/7,146.64
  6. Step 6: Final answer
    x = 10,367.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.