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Finding the Fourth Proportional to 9,788.16, 14,675.07 and 6,282.12

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Solution

The fourth proportional to 9,788.16, 14,675.07 and 6,282.12 is: 9,418.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.16 : 14,675.07 = 6,282.12 : x
  2. Step 2: Convert to fraction form
    9,788.16/14,675.07 = 6,282.12/x
  3. Step 3: Cross multiply
    9,788.16x = 14,675.07 × 6,282.12
  4. Step 4: Simplify right side
    9,788.16x = 92,190,550.75
  5. Step 5: Solve for x
    x = 92,190,550.75/9,788.16
  6. Step 6: Final answer
    x = 9,418.58

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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.