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Finding the Fourth Proportional to 9,589.68, 14,363.70 and 4,648.95

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Solution

The fourth proportional to 9,589.68, 14,363.70 and 4,648.95 is: 6,963.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.68 : 14,363.70 = 4,648.95 : x
  2. Step 2: Convert to fraction form
    9,589.68/14,363.70 = 4,648.95/x
  3. Step 3: Cross multiply
    9,589.68x = 14,363.70 × 4,648.95
  4. Step 4: Simplify right side
    9,589.68x = 66,776,123.12
  5. Step 5: Solve for x
    x = 66,776,123.12/9,589.68
  6. Step 6: Final answer
    x = 6,963.33

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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.