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Finding the Fourth Proportional to 7,011.28, 9,675.62 and 3,824.54

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Solution

The fourth proportional to 7,011.28, 9,675.62 and 3,824.54 is: 5,277.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,011.28 : 9,675.62 = 3,824.54 : x
  2. Step 2: Convert to fraction form
    7,011.28/9,675.62 = 3,824.54/x
  3. Step 3: Cross multiply
    7,011.28x = 9,675.62 × 3,824.54
  4. Step 4: Simplify right side
    7,011.28x = 37,004,795.71
  5. Step 5: Solve for x
    x = 37,004,795.71/7,011.28
  6. Step 6: Final answer
    x = 5,277.89

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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.