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Finding the Fourth Proportional to 7,228.64, 9,975.61 and 4,244.60

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Solution

The fourth proportional to 7,228.64, 9,975.61 and 4,244.60 is: 5,857.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228.64 : 9,975.61 = 4,244.60 : x
  2. Step 2: Convert to fraction form
    7,228.64/9,975.61 = 4,244.60/x
  3. Step 3: Cross multiply
    7,228.64x = 9,975.61 × 4,244.60
  4. Step 4: Simplify right side
    7,228.64x = 42,342,480.57
  5. Step 5: Solve for x
    x = 42,342,480.57/7,228.64
  6. Step 6: Final answer
    x = 5,857.60

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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.