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Finding the Fourth Proportional to 9,552.90, 14,302.89 and 7,205.79

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Solution

The fourth proportional to 9,552.90, 14,302.89 and 7,205.79 is: 10,788.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,552.90 : 14,302.89 = 7,205.79 : x
  2. Step 2: Convert to fraction form
    9,552.90/14,302.89 = 7,205.79/x
  3. Step 3: Cross multiply
    9,552.90x = 14,302.89 × 7,205.79
  4. Step 4: Simplify right side
    9,552.90x = 103,063,621.73
  5. Step 5: Solve for x
    x = 103,063,621.73/9,552.90
  6. Step 6: Final answer
    x = 10,788.73

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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.