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Finding the Fourth Proportional to 14,235.42, 19,635 and 9,759.57

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Solution

The fourth proportional to 14,235.42, 19,635 and 9,759.57 is: 13,461.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,235.42 : 19,635 = 9,759.57 : x
  2. Step 2: Convert to fraction form
    14,235.42/19,635 = 9,759.57/x
  3. Step 3: Cross multiply
    14,235.42x = 19,635 × 9,759.57
  4. Step 4: Simplify right side
    14,235.42x = 191,629,156.95
  5. Step 5: Solve for x
    x = 191,629,156.95/14,235.42
  6. Step 6: Final answer
    x = 13,461.43

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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.