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Finding the Fourth Proportional to 9,578.32, 14,379.63 and 9,184.66

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Solution

The fourth proportional to 9,578.32, 14,379.63 and 9,184.66 is: 13,788.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.32 : 14,379.63 = 9,184.66 : x
  2. Step 2: Convert to fraction form
    9,578.32/14,379.63 = 9,184.66/x
  3. Step 3: Cross multiply
    9,578.32x = 14,379.63 × 9,184.66
  4. Step 4: Simplify right side
    9,578.32x = 132,072,012.48
  5. Step 5: Solve for x
    x = 132,072,012.48/9,578.32
  6. Step 6: Final answer
    x = 13,788.64

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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.