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Finding the Fourth Proportional to 6,823.71, 9,393.97 and 6,510.24

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Solution

The fourth proportional to 6,823.71, 9,393.97 and 6,510.24 is: 8,962.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.71 : 9,393.97 = 6,510.24 : x
  2. Step 2: Convert to fraction form
    6,823.71/9,393.97 = 6,510.24/x
  3. Step 3: Cross multiply
    6,823.71x = 9,393.97 × 6,510.24
  4. Step 4: Simplify right side
    6,823.71x = 61,156,999.25
  5. Step 5: Solve for x
    x = 61,156,999.25/6,823.71
  6. Step 6: Final answer
    x = 8,962.43

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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.