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Finding the Fourth Proportional to 9,578.32, 14,367.48 and 3,005

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Solution

The fourth proportional to 9,578.32, 14,367.48 and 3,005 is: 4,507.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.32 : 14,367.48 = 3,005 : x
  2. Step 2: Convert to fraction form
    9,578.32/14,367.48 = 3,005/x
  3. Step 3: Cross multiply
    9,578.32x = 14,367.48 × 3,005
  4. Step 4: Simplify right side
    9,578.32x = 43,174,277.40
  5. Step 5: Solve for x
    x = 43,174,277.40/9,578.32
  6. Step 6: Final answer
    x = 4,507.50

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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.