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Finding the Fourth Proportional to 9,978.24, 14,967.48 and 4,782.96

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Solution

The fourth proportional to 9,978.24, 14,967.48 and 4,782.96 is: 7,174.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,978.24 : 14,967.48 = 4,782.96 : x
  2. Step 2: Convert to fraction form
    9,978.24/14,967.48 = 4,782.96/x
  3. Step 3: Cross multiply
    9,978.24x = 14,967.48 × 4,782.96
  4. Step 4: Simplify right side
    9,978.24x = 71,588,858.14
  5. Step 5: Solve for x
    x = 71,588,858.14/9,978.24
  6. Step 6: Final answer
    x = 7,174.50

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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.