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Finding the Fourth Proportional to 10,562.74, 14,603.94 and 10,098

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Solution

The fourth proportional to 10,562.74, 14,603.94 and 10,098 is: 13,961.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,562.74 : 14,603.94 = 10,098 : x
  2. Step 2: Convert to fraction form
    10,562.74/14,603.94 = 10,098/x
  3. Step 3: Cross multiply
    10,562.74x = 14,603.94 × 10,098
  4. Step 4: Simplify right side
    10,562.74x = 147,470,586.12
  5. Step 5: Solve for x
    x = 147,470,586.12/10,562.74
  6. Step 6: Final answer
    x = 13,961.40

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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.