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Finding the Fourth Proportional to 8,076.16, 12,097.80 and 5,304.16

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Solution

The fourth proportional to 8,076.16, 12,097.80 and 5,304.16 is: 7,945.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,076.16 : 12,097.80 = 5,304.16 : x
  2. Step 2: Convert to fraction form
    8,076.16/12,097.80 = 5,304.16/x
  3. Step 3: Cross multiply
    8,076.16x = 12,097.80 × 5,304.16
  4. Step 4: Simplify right side
    8,076.16x = 64,168,666.85
  5. Step 5: Solve for x
    x = 64,168,666.85/8,076.16
  6. Step 6: Final answer
    x = 7,945.44

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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.