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Finding the Fourth Proportional to 9,683.67, 13,359.02 and 5,702.87

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Solution

The fourth proportional to 9,683.67, 13,359.02 and 5,702.87 is: 7,867.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.67 : 13,359.02 = 5,702.87 : x
  2. Step 2: Convert to fraction form
    9,683.67/13,359.02 = 5,702.87/x
  3. Step 3: Cross multiply
    9,683.67x = 13,359.02 × 5,702.87
  4. Step 4: Simplify right side
    9,683.67x = 76,184,754.39
  5. Step 5: Solve for x
    x = 76,184,754.39/9,683.67
  6. Step 6: Final answer
    x = 7,867.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.