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Finding the Fourth Proportional to 9,785.44, 14,678.14 and 6,962.38

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Solution

The fourth proportional to 9,785.44, 14,678.14 and 6,962.38 is: 10,443.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.44 : 14,678.14 = 6,962.38 : x
  2. Step 2: Convert to fraction form
    9,785.44/14,678.14 = 6,962.38/x
  3. Step 3: Cross multiply
    9,785.44x = 14,678.14 × 6,962.38
  4. Step 4: Simplify right side
    9,785.44x = 102,194,788.37
  5. Step 5: Solve for x
    x = 102,194,788.37/9,785.44
  6. Step 6: Final answer
    x = 10,443.56

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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.