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Finding the Fourth Proportional to 7,047, 10,553.76 and 4,574.16

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Solution

The fourth proportional to 7,047, 10,553.76 and 4,574.16 is: 6,850.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047 : 10,553.76 = 4,574.16 : x
  2. Step 2: Convert to fraction form
    7,047/10,553.76 = 4,574.16/x
  3. Step 3: Cross multiply
    7,047x = 10,553.76 × 4,574.16
  4. Step 4: Simplify right side
    7,047x = 48,274,586.84
  5. Step 5: Solve for x
    x = 48,274,586.84/7,047
  6. Step 6: Final answer
    x = 6,850.37

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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.