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Finding the Fourth Proportional to 9,283.59, 12,807.84 and 5,926.56

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Solution

The fourth proportional to 9,283.59, 12,807.84 and 5,926.56 is: 8,176.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.59 : 12,807.84 = 5,926.56 : x
  2. Step 2: Convert to fraction form
    9,283.59/12,807.84 = 5,926.56/x
  3. Step 3: Cross multiply
    9,283.59x = 12,807.84 × 5,926.56
  4. Step 4: Simplify right side
    9,283.59x = 75,906,432.23
  5. Step 5: Solve for x
    x = 75,906,432.23/9,283.59
  6. Step 6: Final answer
    x = 8,176.41

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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.