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Finding the Fourth Proportional to 7,762.56, 11,646 and 4,302.24

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Solution

The fourth proportional to 7,762.56, 11,646 and 4,302.24 is: 6,454.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.56 : 11,646 = 4,302.24 : x
  2. Step 2: Convert to fraction form
    7,762.56/11,646 = 4,302.24/x
  3. Step 3: Cross multiply
    7,762.56x = 11,646 × 4,302.24
  4. Step 4: Simplify right side
    7,762.56x = 50,103,887.04
  5. Step 5: Solve for x
    x = 50,103,887.04/7,762.56
  6. Step 6: Final answer
    x = 6,454.56

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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.