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Finding the Fourth Proportional to 7,007.54, 9,674.16 and 5,491.98

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Solution

The fourth proportional to 7,007.54, 9,674.16 and 5,491.98 is: 7,581.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,007.54 : 9,674.16 = 5,491.98 : x
  2. Step 2: Convert to fraction form
    7,007.54/9,674.16 = 5,491.98/x
  3. Step 3: Cross multiply
    7,007.54x = 9,674.16 × 5,491.98
  4. Step 4: Simplify right side
    7,007.54x = 53,130,293.24
  5. Step 5: Solve for x
    x = 53,130,293.24/7,007.54
  6. Step 6: Final answer
    x = 7,581.88

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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.