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Finding the Fourth Proportional to 9,673.20, 14,496.30 and 7,702.20

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Solution

The fourth proportional to 9,673.20, 14,496.30 and 7,702.20 is: 11,542.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.20 : 14,496.30 = 7,702.20 : x
  2. Step 2: Convert to fraction form
    9,673.20/14,496.30 = 7,702.20/x
  3. Step 3: Cross multiply
    9,673.20x = 14,496.30 × 7,702.20
  4. Step 4: Simplify right side
    9,673.20x = 111,653,401.86
  5. Step 5: Solve for x
    x = 111,653,401.86/9,673.20
  6. Step 6: Final answer
    x = 11,542.55

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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.