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Finding the Fourth Proportional to 9,785.94, 14,678.97 and 6,877.23

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Solution

The fourth proportional to 9,785.94, 14,678.97 and 6,877.23 is: 10,315.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.94 : 14,678.97 = 6,877.23 : x
  2. Step 2: Convert to fraction form
    9,785.94/14,678.97 = 6,877.23/x
  3. Step 3: Cross multiply
    9,785.94x = 14,678.97 × 6,877.23
  4. Step 4: Simplify right side
    9,785.94x = 100,950,652.85
  5. Step 5: Solve for x
    x = 100,950,652.85/9,785.94
  6. Step 6: Final answer
    x = 10,315.89

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Double scale
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Similar ratio
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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.