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Finding the Fourth Proportional to 9,767, 13,478.46 and 5,575.36

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Solution

The fourth proportional to 9,767, 13,478.46 and 5,575.36 is: 7,694.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767 : 13,478.46 = 5,575.36 : x
  2. Step 2: Convert to fraction form
    9,767/13,478.46 = 5,575.36/x
  3. Step 3: Cross multiply
    9,767x = 13,478.46 × 5,575.36
  4. Step 4: Simplify right side
    9,767x = 75,147,266.75
  5. Step 5: Solve for x
    x = 75,147,266.75/9,767
  6. Step 6: Final answer
    x = 7,694.00

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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.