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Finding the Fourth Proportional to 9,055, 12,496.90 and 5,076.48

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Solution

The fourth proportional to 9,055, 12,496.90 and 5,076.48 is: 7,006.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,055 : 12,496.90 = 5,076.48 : x
  2. Step 2: Convert to fraction form
    9,055/12,496.90 = 5,076.48/x
  3. Step 3: Cross multiply
    9,055x = 12,496.90 × 5,076.48
  4. Step 4: Simplify right side
    9,055x = 63,440,262.91
  5. Step 5: Solve for x
    x = 63,440,262.91/9,055
  6. Step 6: Final answer
    x = 7,006.10

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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.