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Finding the Fourth Proportional to 4,442.65, 6,661.65 and 1,322.23

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Solution

The fourth proportional to 4,442.65, 6,661.65 and 1,322.23 is: 1,982.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,442.65 : 6,661.65 = 1,322.23 : x
  2. Step 2: Convert to fraction form
    4,442.65/6,661.65 = 1,322.23/x
  3. Step 3: Cross multiply
    4,442.65x = 6,661.65 × 1,322.23
  4. Step 4: Simplify right side
    4,442.65x = 8,808,233.48
  5. Step 5: Solve for x
    x = 8,808,233.48/4,442.65
  6. Step 6: Final answer
    x = 1,982.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.