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Finding the Fourth Proportional to 11,580, 15,979.86 and 6,543.60

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Solution

The fourth proportional to 11,580, 15,979.86 and 6,543.60 is: 9,029.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,580 : 15,979.86 = 6,543.60 : x
  2. Step 2: Convert to fraction form
    11,580/15,979.86 = 6,543.60/x
  3. Step 3: Cross multiply
    11,580x = 15,979.86 × 6,543.60
  4. Step 4: Simplify right side
    11,580x = 104,565,811.90
  5. Step 5: Solve for x
    x = 104,565,811.90/11,580
  6. Step 6: Final answer
    x = 9,029.86

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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.