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Finding the Fourth Proportional to 6,512.09, 9,780.04 and 5,963.11

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Solution

The fourth proportional to 6,512.09, 9,780.04 and 5,963.11 is: 8,955.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.09 : 9,780.04 = 5,963.11 : x
  2. Step 2: Convert to fraction form
    6,512.09/9,780.04 = 5,963.11/x
  3. Step 3: Cross multiply
    6,512.09x = 9,780.04 × 5,963.11
  4. Step 4: Simplify right side
    6,512.09x = 58,319,474.00
  5. Step 5: Solve for x
    x = 58,319,474.00/6,512.09
  6. Step 6: Final answer
    x = 8,955.58

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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.