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Finding the Fourth Proportional to 10,548, 14,556.48 and 6,828.48

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Solution

The fourth proportional to 10,548, 14,556.48 and 6,828.48 is: 9,423.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,548 : 14,556.48 = 6,828.48 : x
  2. Step 2: Convert to fraction form
    10,548/14,556.48 = 6,828.48/x
  3. Step 3: Cross multiply
    10,548x = 14,556.48 × 6,828.48
  4. Step 4: Simplify right side
    10,548x = 99,398,632.55
  5. Step 5: Solve for x
    x = 99,398,632.55/10,548
  6. Step 6: Final answer
    x = 9,423.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.