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Finding the Fourth Proportional to 11,663.92, 16,094.48 and 6,948.08

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Solution

The fourth proportional to 11,663.92, 16,094.48 and 6,948.08 is: 9,587.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,663.92 : 16,094.48 = 6,948.08 : x
  2. Step 2: Convert to fraction form
    11,663.92/16,094.48 = 6,948.08/x
  3. Step 3: Cross multiply
    11,663.92x = 16,094.48 × 6,948.08
  4. Step 4: Simplify right side
    11,663.92x = 111,825,734.60
  5. Step 5: Solve for x
    x = 111,825,734.60/11,663.92
  6. Step 6: Final answer
    x = 9,587.32

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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.