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Finding the Fourth Proportional to 10,614.94, 14,663.60 and 8,504.48

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Solution

The fourth proportional to 10,614.94, 14,663.60 and 8,504.48 is: 11,748.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.94 : 14,663.60 = 8,504.48 : x
  2. Step 2: Convert to fraction form
    10,614.94/14,663.60 = 8,504.48/x
  3. Step 3: Cross multiply
    10,614.94x = 14,663.60 × 8,504.48
  4. Step 4: Simplify right side
    10,614.94x = 124,706,350.85
  5. Step 5: Solve for x
    x = 124,706,350.85/10,614.94
  6. Step 6: Final answer
    x = 11,748.19

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1.5x scale

Why These Related Problems?

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