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Finding the Fourth Proportional to 8,304.93, 11,463.12 and 4,769.28

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Solution

The fourth proportional to 8,304.93, 11,463.12 and 4,769.28 is: 6,582.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,304.93 : 11,463.12 = 4,769.28 : x
  2. Step 2: Convert to fraction form
    8,304.93/11,463.12 = 4,769.28/x
  3. Step 3: Cross multiply
    8,304.93x = 11,463.12 × 4,769.28
  4. Step 4: Simplify right side
    8,304.93x = 54,670,828.95
  5. Step 5: Solve for x
    x = 54,670,828.95/8,304.93
  6. Step 6: Final answer
    x = 6,582.94

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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.