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Finding the Fourth Proportional to 11,703.48, 16,152.30 and 6,735.48

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Solution

The fourth proportional to 11,703.48, 16,152.30 and 6,735.48 is: 9,295.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,703.48 : 16,152.30 = 6,735.48 : x
  2. Step 2: Convert to fraction form
    11,703.48/16,152.30 = 6,735.48/x
  3. Step 3: Cross multiply
    11,703.48x = 16,152.30 × 6,735.48
  4. Step 4: Simplify right side
    11,703.48x = 108,793,493.60
  5. Step 5: Solve for x
    x = 108,793,493.60/11,703.48
  6. Step 6: Final answer
    x = 9,295.82

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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.