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Finding the Fourth Proportional to 11,473.76, 15,838.64 and 6,999.12

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Solution

The fourth proportional to 11,473.76, 15,838.64 and 6,999.12 is: 9,661.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,473.76 : 15,838.64 = 6,999.12 : x
  2. Step 2: Convert to fraction form
    11,473.76/15,838.64 = 6,999.12/x
  3. Step 3: Cross multiply
    11,473.76x = 15,838.64 × 6,999.12
  4. Step 4: Simplify right side
    11,473.76x = 110,856,542.00
  5. Step 5: Solve for x
    x = 110,856,542.00/11,473.76
  6. Step 6: Final answer
    x = 9,661.74

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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.