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Finding the Fourth Proportional to 8,283.64, 11,431.56 and 4,506.88

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Solution

The fourth proportional to 8,283.64, 11,431.56 and 4,506.88 is: 6,219.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.64 : 11,431.56 = 4,506.88 : x
  2. Step 2: Convert to fraction form
    8,283.64/11,431.56 = 4,506.88/x
  3. Step 3: Cross multiply
    8,283.64x = 11,431.56 × 4,506.88
  4. Step 4: Simplify right side
    8,283.64x = 51,520,669.13
  5. Step 5: Solve for x
    x = 51,520,669.13/8,283.64
  6. Step 6: Final answer
    x = 6,219.57

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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.