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Finding the Fourth Proportional to 7,228.75, 9,975.68 and 3,916.75

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Solution

The fourth proportional to 7,228.75, 9,975.68 and 3,916.75 is: 5,405.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228.75 : 9,975.68 = 3,916.75 : x
  2. Step 2: Convert to fraction form
    7,228.75/9,975.68 = 3,916.75/x
  3. Step 3: Cross multiply
    7,228.75x = 9,975.68 × 3,916.75
  4. Step 4: Simplify right side
    7,228.75x = 39,072,244.64
  5. Step 5: Solve for x
    x = 39,072,244.64/7,228.75
  6. Step 6: Final answer
    x = 5,405.12

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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.