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Finding the Fourth Proportional to 5,605, 7,722.02 and 4,425.64

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Solution

The fourth proportional to 5,605, 7,722.02 and 4,425.64 is: 6,097.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605 : 7,722.02 = 4,425.64 : x
  2. Step 2: Convert to fraction form
    5,605/7,722.02 = 4,425.64/x
  3. Step 3: Cross multiply
    5,605x = 7,722.02 × 4,425.64
  4. Step 4: Simplify right side
    5,605x = 34,174,880.59
  5. Step 5: Solve for x
    x = 34,174,880.59/5,605
  6. Step 6: Final answer
    x = 6,097.21

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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.