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Finding the Fourth Proportional to 9,759.58, 14,627.11 and 4,206.43

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Solution

The fourth proportional to 9,759.58, 14,627.11 and 4,206.43 is: 6,304.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.58 : 14,627.11 = 4,206.43 : x
  2. Step 2: Convert to fraction form
    9,759.58/14,627.11 = 4,206.43/x
  3. Step 3: Cross multiply
    9,759.58x = 14,627.11 × 4,206.43
  4. Step 4: Simplify right side
    9,759.58x = 61,527,914.32
  5. Step 5: Solve for x
    x = 61,527,914.32/9,759.58
  6. Step 6: Final answer
    x = 6,304.36

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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.