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Finding the Fourth Proportional to 8,527, 11,769.18 and 5,546.20

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Solution

The fourth proportional to 8,527, 11,769.18 and 5,546.20 is: 7,655.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,527 : 11,769.18 = 5,546.20 : x
  2. Step 2: Convert to fraction form
    8,527/11,769.18 = 5,546.20/x
  3. Step 3: Cross multiply
    8,527x = 11,769.18 × 5,546.20
  4. Step 4: Simplify right side
    8,527x = 65,274,226.12
  5. Step 5: Solve for x
    x = 65,274,226.12/8,527
  6. Step 6: Final answer
    x = 7,655.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.