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Finding the Fourth Proportional to 9,813.62, 14,693.47 and 6,855.03

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Solution

The fourth proportional to 9,813.62, 14,693.47 and 6,855.03 is: 10,263.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.62 : 14,693.47 = 6,855.03 : x
  2. Step 2: Convert to fraction form
    9,813.62/14,693.47 = 6,855.03/x
  3. Step 3: Cross multiply
    9,813.62x = 14,693.47 × 6,855.03
  4. Step 4: Simplify right side
    9,813.62x = 100,724,160.52
  5. Step 5: Solve for x
    x = 100,724,160.52/9,813.62
  6. Step 6: Final answer
    x = 10,263.71

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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.