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Finding the Fourth Proportional to 14,193.84, 19,586.72 and 7,820.21

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Solution

The fourth proportional to 14,193.84, 19,586.72 and 7,820.21 is: 10,791.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,193.84 : 19,586.72 = 7,820.21 : x
  2. Step 2: Convert to fraction form
    14,193.84/19,586.72 = 7,820.21/x
  3. Step 3: Cross multiply
    14,193.84x = 19,586.72 × 7,820.21
  4. Step 4: Simplify right side
    14,193.84x = 153,172,185.23
  5. Step 5: Solve for x
    x = 153,172,185.23/14,193.84
  6. Step 6: Final answer
    x = 10,791.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.