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Finding the Fourth Proportional to 9,775.46, 13,497.91 and 9,029.15

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Solution

The fourth proportional to 9,775.46, 13,497.91 and 9,029.15 is: 12,467.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.46 : 13,497.91 = 9,029.15 : x
  2. Step 2: Convert to fraction form
    9,775.46/13,497.91 = 9,029.15/x
  3. Step 3: Cross multiply
    9,775.46x = 13,497.91 × 9,029.15
  4. Step 4: Simplify right side
    9,775.46x = 121,874,665.25
  5. Step 5: Solve for x
    x = 121,874,665.25/9,775.46
  6. Step 6: Final answer
    x = 12,467.41

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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.