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Finding the Fourth Proportional to 9,544.65, 14,301.32 and 9,180.15

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Solution

The fourth proportional to 9,544.65, 14,301.32 and 9,180.15 is: 13,755.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,544.65 : 14,301.32 = 9,180.15 : x
  2. Step 2: Convert to fraction form
    9,544.65/14,301.32 = 9,180.15/x
  3. Step 3: Cross multiply
    9,544.65x = 14,301.32 × 9,180.15
  4. Step 4: Simplify right side
    9,544.65x = 131,288,216.90
  5. Step 5: Solve for x
    x = 131,288,216.90/9,544.65
  6. Step 6: Final answer
    x = 13,755.16

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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.