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Finding the Fourth Proportional to 7,728.32, 11,592.48 and 1,884.92

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Solution

The fourth proportional to 7,728.32, 11,592.48 and 1,884.92 is: 2,827.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.32 : 11,592.48 = 1,884.92 : x
  2. Step 2: Convert to fraction form
    7,728.32/11,592.48 = 1,884.92/x
  3. Step 3: Cross multiply
    7,728.32x = 11,592.48 × 1,884.92
  4. Step 4: Simplify right side
    7,728.32x = 21,850,897.40
  5. Step 5: Solve for x
    x = 21,850,897.40/7,728.32
  6. Step 6: Final answer
    x = 2,827.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.