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Finding the Fourth Proportional to 9,769.16, 14,647.50 and 8,288.88

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Solution

The fourth proportional to 9,769.16, 14,647.50 and 8,288.88 is: 12,428.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.16 : 14,647.50 = 8,288.88 : x
  2. Step 2: Convert to fraction form
    9,769.16/14,647.50 = 8,288.88/x
  3. Step 3: Cross multiply
    9,769.16x = 14,647.50 × 8,288.88
  4. Step 4: Simplify right side
    9,769.16x = 121,411,369.80
  5. Step 5: Solve for x
    x = 121,411,369.80/9,769.16
  6. Step 6: Final answer
    x = 12,428.03

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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.