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Finding the Fourth Proportional to 7,012.88, 9,678.20 and 4,028.64

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Solution

The fourth proportional to 7,012.88, 9,678.20 and 4,028.64 is: 5,559.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,012.88 : 9,678.20 = 4,028.64 : x
  2. Step 2: Convert to fraction form
    7,012.88/9,678.20 = 4,028.64/x
  3. Step 3: Cross multiply
    7,012.88x = 9,678.20 × 4,028.64
  4. Step 4: Simplify right side
    7,012.88x = 38,989,963.50
  5. Step 5: Solve for x
    x = 38,989,963.50/7,012.88
  6. Step 6: Final answer
    x = 5,559.76

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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.