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Finding the Fourth Proportional to 14,658.70, 21,946.65 and 11,409.70

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Solution

The fourth proportional to 14,658.70, 21,946.65 and 11,409.70 is: 17,082.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,658.70 : 21,946.65 = 11,409.70 : x
  2. Step 2: Convert to fraction form
    14,658.70/21,946.65 = 11,409.70/x
  3. Step 3: Cross multiply
    14,658.70x = 21,946.65 × 11,409.70
  4. Step 4: Simplify right side
    14,658.70x = 250,404,692.51
  5. Step 5: Solve for x
    x = 250,404,692.51/14,658.70
  6. Step 6: Final answer
    x = 17,082.33

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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.