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Finding the Fourth Proportional to 8,283.16, 11,430.96 and 4,747.48

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Solution

The fourth proportional to 8,283.16, 11,430.96 and 4,747.48 is: 6,551.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.16 : 11,430.96 = 4,747.48 : x
  2. Step 2: Convert to fraction form
    8,283.16/11,430.96 = 4,747.48/x
  3. Step 3: Cross multiply
    8,283.16x = 11,430.96 × 4,747.48
  4. Step 4: Simplify right side
    8,283.16x = 54,268,253.98
  5. Step 5: Solve for x
    x = 54,268,253.98/8,283.16
  6. Step 6: Final answer
    x = 6,551.64

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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.