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Finding the Fourth Proportional to 7,865.98, 11,800.59 and 6,576.46

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Solution

The fourth proportional to 7,865.98, 11,800.59 and 6,576.46 is: 9,866.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.98 : 11,800.59 = 6,576.46 : x
  2. Step 2: Convert to fraction form
    7,865.98/11,800.59 = 6,576.46/x
  3. Step 3: Cross multiply
    7,865.98x = 11,800.59 × 6,576.46
  4. Step 4: Simplify right side
    7,865.98x = 77,606,108.11
  5. Step 5: Solve for x
    x = 77,606,108.11/7,865.98
  6. Step 6: Final answer
    x = 9,866.04

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1.5x scale

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.