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Finding the Fourth Proportional to 9,825.10, 14,680.24 and 9,480.65

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Solution

The fourth proportional to 9,825.10, 14,680.24 and 9,480.65 is: 14,165.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.10 : 14,680.24 = 9,480.65 : x
  2. Step 2: Convert to fraction form
    9,825.10/14,680.24 = 9,480.65/x
  3. Step 3: Cross multiply
    9,825.10x = 14,680.24 × 9,480.65
  4. Step 4: Simplify right side
    9,825.10x = 139,178,120.25
  5. Step 5: Solve for x
    x = 139,178,120.25/9,825.10
  6. Step 6: Final answer
    x = 14,165.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.