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Finding the Fourth Proportional to 11,532.58, 15,908.90 and 7,282.10

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Solution

The fourth proportional to 11,532.58, 15,908.90 and 7,282.10 is: 10,045.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,532.58 : 15,908.90 = 7,282.10 : x
  2. Step 2: Convert to fraction form
    11,532.58/15,908.90 = 7,282.10/x
  3. Step 3: Cross multiply
    11,532.58x = 15,908.90 × 7,282.10
  4. Step 4: Simplify right side
    11,532.58x = 115,850,204.05
  5. Step 5: Solve for x
    x = 115,850,204.05/11,532.58
  6. Step 6: Final answer
    x = 10,045.47

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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.