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Finding the Fourth Proportional to 9,578.54, 14,365.90 and 9,103.84

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Solution

The fourth proportional to 9,578.54, 14,365.90 and 9,103.84 is: 13,653.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.54 : 14,365.90 = 9,103.84 : x
  2. Step 2: Convert to fraction form
    9,578.54/14,365.90 = 9,103.84/x
  3. Step 3: Cross multiply
    9,578.54x = 14,365.90 × 9,103.84
  4. Step 4: Simplify right side
    9,578.54x = 130,784,855.06
  5. Step 5: Solve for x
    x = 130,784,855.06/9,578.54
  6. Step 6: Final answer
    x = 13,653.94

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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.