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Finding the Fourth Proportional to 9,648.52, 13,315.89 and 6,961.95

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Solution

The fourth proportional to 9,648.52, 13,315.89 and 6,961.95 is: 9,608.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.52 : 13,315.89 = 6,961.95 : x
  2. Step 2: Convert to fraction form
    9,648.52/13,315.89 = 6,961.95/x
  3. Step 3: Cross multiply
    9,648.52x = 13,315.89 × 6,961.95
  4. Step 4: Simplify right side
    9,648.52x = 92,704,586.49
  5. Step 5: Solve for x
    x = 92,704,586.49/9,648.52
  6. Step 6: Final answer
    x = 9,608.17

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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.