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Finding the Fourth Proportional to 9,846.69, 14,764.61 and 6,730.22

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Solution

The fourth proportional to 9,846.69, 14,764.61 and 6,730.22 is: 10,091.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.69 : 14,764.61 = 6,730.22 : x
  2. Step 2: Convert to fraction form
    9,846.69/14,764.61 = 6,730.22/x
  3. Step 3: Cross multiply
    9,846.69x = 14,764.61 × 6,730.22
  4. Step 4: Simplify right side
    9,846.69x = 99,368,966.04
  5. Step 5: Solve for x
    x = 99,368,966.04/9,846.69
  6. Step 6: Final answer
    x = 10,091.61

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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.