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Finding the Fourth Proportional to 9,763.92, 14,616.72 and 8,966.88

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Solution

The fourth proportional to 9,763.92, 14,616.72 and 8,966.88 is: 13,423.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.92 : 14,616.72 = 8,966.88 : x
  2. Step 2: Convert to fraction form
    9,763.92/14,616.72 = 8,966.88/x
  3. Step 3: Cross multiply
    9,763.92x = 14,616.72 × 8,966.88
  4. Step 4: Simplify right side
    9,763.92x = 131,066,374.23
  5. Step 5: Solve for x
    x = 131,066,374.23/9,763.92
  6. Step 6: Final answer
    x = 13,423.54

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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.