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Finding the Fourth Proportional to 7,650.06, 10,533.60 and 6,700.38

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Solution

The fourth proportional to 7,650.06, 10,533.60 and 6,700.38 is: 9,225.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,650.06 : 10,533.60 = 6,700.38 : x
  2. Step 2: Convert to fraction form
    7,650.06/10,533.60 = 6,700.38/x
  3. Step 3: Cross multiply
    7,650.06x = 10,533.60 × 6,700.38
  4. Step 4: Simplify right side
    7,650.06x = 70,579,122.77
  5. Step 5: Solve for x
    x = 70,579,122.77/7,650.06
  6. Step 6: Final answer
    x = 9,225.96

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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.