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Finding the Fourth Proportional to 11,776.84, 17,626.80 and 8,656.02

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Solution

The fourth proportional to 11,776.84, 17,626.80 and 8,656.02 is: 12,955.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.84 : 17,626.80 = 8,656.02 : x
  2. Step 2: Convert to fraction form
    11,776.84/17,626.80 = 8,656.02/x
  3. Step 3: Cross multiply
    11,776.84x = 17,626.80 × 8,656.02
  4. Step 4: Simplify right side
    11,776.84x = 152,577,933.34
  5. Step 5: Solve for x
    x = 152,577,933.34/11,776.84
  6. Step 6: Final answer
    x = 12,955.76

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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.