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Finding the Fourth Proportional to 10,784.70, 16,177.05 and 6,337.80

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Solution

The fourth proportional to 10,784.70, 16,177.05 and 6,337.80 is: 9,506.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,784.70 : 16,177.05 = 6,337.80 : x
  2. Step 2: Convert to fraction form
    10,784.70/16,177.05 = 6,337.80/x
  3. Step 3: Cross multiply
    10,784.70x = 16,177.05 × 6,337.80
  4. Step 4: Simplify right side
    10,784.70x = 102,526,907.49
  5. Step 5: Solve for x
    x = 102,526,907.49/10,784.70
  6. Step 6: Final answer
    x = 9,506.70

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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.