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Finding the Fourth Proportional to 10,846.59, 16,291.74 and 6,472.59

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Solution

The fourth proportional to 10,846.59, 16,291.74 and 6,472.59 is: 9,721.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,846.59 : 16,291.74 = 6,472.59 : x
  2. Step 2: Convert to fraction form
    10,846.59/16,291.74 = 6,472.59/x
  3. Step 3: Cross multiply
    10,846.59x = 16,291.74 × 6,472.59
  4. Step 4: Simplify right side
    10,846.59x = 105,449,753.41
  5. Step 5: Solve for x
    x = 105,449,753.41/10,846.59
  6. Step 6: Final answer
    x = 9,721.93

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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.