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Finding the Fourth Proportional to 14,006.70, 19,667.70 and 14,006.70

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Solution

The fourth proportional to 14,006.70, 19,667.70 and 14,006.70 is: 19,667.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,006.70 : 19,667.70 = 14,006.70 : x
  2. Step 2: Convert to fraction form
    14,006.70/19,667.70 = 14,006.70/x
  3. Step 3: Cross multiply
    14,006.70x = 19,667.70 × 14,006.70
  4. Step 4: Simplify right side
    14,006.70x = 275,479,573.59
  5. Step 5: Solve for x
    x = 275,479,573.59/14,006.70
  6. Step 6: Final answer
    x = 19,667.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.