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Finding the Fourth Proportional to 9,803.38, 14,672.22 and 8,048.29

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Solution

The fourth proportional to 9,803.38, 14,672.22 and 8,048.29 is: 12,045.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.38 : 14,672.22 = 8,048.29 : x
  2. Step 2: Convert to fraction form
    9,803.38/14,672.22 = 8,048.29/x
  3. Step 3: Cross multiply
    9,803.38x = 14,672.22 × 8,048.29
  4. Step 4: Simplify right side
    9,803.38x = 118,086,281.50
  5. Step 5: Solve for x
    x = 118,086,281.50/9,803.38
  6. Step 6: Final answer
    x = 12,045.47

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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.