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Finding the Fourth Proportional to 14,601.40, 21,902.10 and 4,071.40

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Solution

The fourth proportional to 14,601.40, 21,902.10 and 4,071.40 is: 6,107.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,601.40 : 21,902.10 = 4,071.40 : x
  2. Step 2: Convert to fraction form
    14,601.40/21,902.10 = 4,071.40/x
  3. Step 3: Cross multiply
    14,601.40x = 21,902.10 × 4,071.40
  4. Step 4: Simplify right side
    14,601.40x = 89,172,209.94
  5. Step 5: Solve for x
    x = 89,172,209.94/14,601.40
  6. Step 6: Final answer
    x = 6,107.10

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1.5x scale

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.