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Finding the Fourth Proportional to 6,477.68, 9,700.12 and 4,005.01

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Solution

The fourth proportional to 6,477.68, 9,700.12 and 4,005.01 is: 5,997.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.68 : 9,700.12 = 4,005.01 : x
  2. Step 2: Convert to fraction form
    6,477.68/9,700.12 = 4,005.01/x
  3. Step 3: Cross multiply
    6,477.68x = 9,700.12 × 4,005.01
  4. Step 4: Simplify right side
    6,477.68x = 38,849,029.10
  5. Step 5: Solve for x
    x = 38,849,029.10/6,477.68
  6. Step 6: Final answer
    x = 5,997.37

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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.