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Finding the Fourth Proportional to 6,507.44, 9,762.08 and 2,123.80

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Solution

The fourth proportional to 6,507.44, 9,762.08 and 2,123.80 is: 3,186.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.44 : 9,762.08 = 2,123.80 : x
  2. Step 2: Convert to fraction form
    6,507.44/9,762.08 = 2,123.80/x
  3. Step 3: Cross multiply
    6,507.44x = 9,762.08 × 2,123.80
  4. Step 4: Simplify right side
    6,507.44x = 20,732,705.50
  5. Step 5: Solve for x
    x = 20,732,705.50/6,507.44
  6. Step 6: Final answer
    x = 3,186.00

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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.