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Finding the Fourth Proportional to 10,892.88, 16,353.63 and 6,458.67

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Solution

The fourth proportional to 10,892.88, 16,353.63 and 6,458.67 is: 9,696.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,892.88 : 16,353.63 = 6,458.67 : x
  2. Step 2: Convert to fraction form
    10,892.88/16,353.63 = 6,458.67/x
  3. Step 3: Cross multiply
    10,892.88x = 16,353.63 × 6,458.67
  4. Step 4: Simplify right side
    10,892.88x = 105,622,699.47
  5. Step 5: Solve for x
    x = 105,622,699.47/10,892.88
  6. Step 6: Final answer
    x = 9,696.49

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1.5x scale

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.