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Finding the Fourth Proportional to 7,014.12, 9,682.99 and 4,362.38

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Solution

The fourth proportional to 7,014.12, 9,682.99 and 4,362.38 is: 6,022.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014.12 : 9,682.99 = 4,362.38 : x
  2. Step 2: Convert to fraction form
    7,014.12/9,682.99 = 4,362.38/x
  3. Step 3: Cross multiply
    7,014.12x = 9,682.99 × 4,362.38
  4. Step 4: Simplify right side
    7,014.12x = 42,240,895.22
  5. Step 5: Solve for x
    x = 42,240,895.22/7,014.12
  6. Step 6: Final answer
    x = 6,022.27

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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.