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Finding the Fourth Proportional to 6,510.24, 8,974.80 and 4,644

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Solution

The fourth proportional to 6,510.24, 8,974.80 and 4,644 is: 6,402.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.24 : 8,974.80 = 4,644 : x
  2. Step 2: Convert to fraction form
    6,510.24/8,974.80 = 4,644/x
  3. Step 3: Cross multiply
    6,510.24x = 8,974.80 × 4,644
  4. Step 4: Simplify right side
    6,510.24x = 41,678,971.20
  5. Step 5: Solve for x
    x = 41,678,971.20/6,510.24
  6. Step 6: Final answer
    x = 6,402.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.