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Finding the Fourth Proportional to 10,562, 14,575.56 and 6,146

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Solution

The fourth proportional to 10,562, 14,575.56 and 6,146 is: 8,481.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,562 : 14,575.56 = 6,146 : x
  2. Step 2: Convert to fraction form
    10,562/14,575.56 = 6,146/x
  3. Step 3: Cross multiply
    10,562x = 14,575.56 × 6,146
  4. Step 4: Simplify right side
    10,562x = 89,581,391.76
  5. Step 5: Solve for x
    x = 89,581,391.76/10,562
  6. Step 6: Final answer
    x = 8,481.48

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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.