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Finding the Fourth Proportional to 9,708.95, 14,549.99 and 4,431.08

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Solution

The fourth proportional to 9,708.95, 14,549.99 and 4,431.08 is: 6,640.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.95 : 14,549.99 = 4,431.08 : x
  2. Step 2: Convert to fraction form
    9,708.95/14,549.99 = 4,431.08/x
  3. Step 3: Cross multiply
    9,708.95x = 14,549.99 × 4,431.08
  4. Step 4: Simplify right side
    9,708.95x = 64,472,183.91
  5. Step 5: Solve for x
    x = 64,472,183.91/9,708.95
  6. Step 6: Final answer
    x = 6,640.49

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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.