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Finding the Fourth Proportional to 7,702.45, 11,559.14 and 6,958.87

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Solution

The fourth proportional to 7,702.45, 11,559.14 and 6,958.87 is: 10,443.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.45 : 11,559.14 = 6,958.87 : x
  2. Step 2: Convert to fraction form
    7,702.45/11,559.14 = 6,958.87/x
  3. Step 3: Cross multiply
    7,702.45x = 11,559.14 × 6,958.87
  4. Step 4: Simplify right side
    7,702.45x = 80,438,541.07
  5. Step 5: Solve for x
    x = 80,438,541.07/7,702.45
  6. Step 6: Final answer
    x = 10,443.24

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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.