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Finding the Fourth Proportional to 9,912.30, 14,863.02 and 4,569.68

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Solution

The fourth proportional to 9,912.30, 14,863.02 and 4,569.68 is: 6,852.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912.30 : 14,863.02 = 4,569.68 : x
  2. Step 2: Convert to fraction form
    9,912.30/14,863.02 = 4,569.68/x
  3. Step 3: Cross multiply
    9,912.30x = 14,863.02 × 4,569.68
  4. Step 4: Simplify right side
    9,912.30x = 67,919,245.23
  5. Step 5: Solve for x
    x = 67,919,245.23/9,912.30
  6. Step 6: Final answer
    x = 6,852.02

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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.