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Finding the Fourth Proportional to 9,775.04, 14,662.56 and 3,927.56

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Solution

The fourth proportional to 9,775.04, 14,662.56 and 3,927.56 is: 5,891.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.04 : 14,662.56 = 3,927.56 : x
  2. Step 2: Convert to fraction form
    9,775.04/14,662.56 = 3,927.56/x
  3. Step 3: Cross multiply
    9,775.04x = 14,662.56 × 3,927.56
  4. Step 4: Simplify right side
    9,775.04x = 57,588,084.15
  5. Step 5: Solve for x
    x = 57,588,084.15/9,775.04
  6. Step 6: Final answer
    x = 5,891.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.