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Finding the Fourth Proportional to 14,098.40, 21,147.60 and 3,710

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Solution

The fourth proportional to 14,098.40, 21,147.60 and 3,710 is: 5,565

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,098.40 : 21,147.60 = 3,710 : x
  2. Step 2: Convert to fraction form
    14,098.40/21,147.60 = 3,710/x
  3. Step 3: Cross multiply
    14,098.40x = 21,147.60 × 3,710
  4. Step 4: Simplify right side
    14,098.40x = 78,457,596
  5. Step 5: Solve for x
    x = 78,457,596/14,098.40
  6. Step 6: Final answer
    x = 5,565

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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.