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Finding the Fourth Proportional to 10,680.65, 14,746.23 and 9,559.64

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Solution

The fourth proportional to 10,680.65, 14,746.23 and 9,559.64 is: 13,198.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,680.65 : 14,746.23 = 9,559.64 : x
  2. Step 2: Convert to fraction form
    10,680.65/14,746.23 = 9,559.64/x
  3. Step 3: Cross multiply
    10,680.65x = 14,746.23 × 9,559.64
  4. Step 4: Simplify right side
    10,680.65x = 140,968,576.43
  5. Step 5: Solve for x
    x = 140,968,576.43/10,680.65
  6. Step 6: Final answer
    x = 13,198.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.