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Finding the Fourth Proportional to 7,007.94, 9,670.68 and 3,821.14

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Solution

The fourth proportional to 7,007.94, 9,670.68 and 3,821.14 is: 5,273.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,007.94 : 9,670.68 = 3,821.14 : x
  2. Step 2: Convert to fraction form
    7,007.94/9,670.68 = 3,821.14/x
  3. Step 3: Cross multiply
    7,007.94x = 9,670.68 × 3,821.14
  4. Step 4: Simplify right side
    7,007.94x = 36,953,022.18
  5. Step 5: Solve for x
    x = 36,953,022.18/7,007.94
  6. Step 6: Final answer
    x = 5,273.02

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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.