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Finding the Fourth Proportional to 13,281.40, 19,922.10 and 8,097.40

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Solution

The fourth proportional to 13,281.40, 19,922.10 and 8,097.40 is: 12,146.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,281.40 : 19,922.10 = 8,097.40 : x
  2. Step 2: Convert to fraction form
    13,281.40/19,922.10 = 8,097.40/x
  3. Step 3: Cross multiply
    13,281.40x = 19,922.10 × 8,097.40
  4. Step 4: Simplify right side
    13,281.40x = 161,317,212.54
  5. Step 5: Solve for x
    x = 161,317,212.54/13,281.40
  6. Step 6: Final answer
    x = 12,146.10

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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.