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Finding the Fourth Proportional to 7,047, 9,724.84 and 4,062.82

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Solution

The fourth proportional to 7,047, 9,724.84 and 4,062.82 is: 5,606.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047 : 9,724.84 = 4,062.82 : x
  2. Step 2: Convert to fraction form
    7,047/9,724.84 = 4,062.82/x
  3. Step 3: Cross multiply
    7,047x = 9,724.84 × 4,062.82
  4. Step 4: Simplify right side
    7,047x = 39,510,205.51
  5. Step 5: Solve for x
    x = 39,510,205.51/7,047
  6. Step 6: Final answer
    x = 5,606.67

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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.