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Finding the Fourth Proportional to 7,111.68, 10,667.58 and 6,576

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Solution

The fourth proportional to 7,111.68, 10,667.58 and 6,576 is: 9,864.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.68 : 10,667.58 = 6,576 : x
  2. Step 2: Convert to fraction form
    7,111.68/10,667.58 = 6,576/x
  3. Step 3: Cross multiply
    7,111.68x = 10,667.58 × 6,576
  4. Step 4: Simplify right side
    7,111.68x = 70,150,006.08
  5. Step 5: Solve for x
    x = 70,150,006.08/7,111.68
  6. Step 6: Final answer
    x = 9,864.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.