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Finding the Fourth Proportional to 9,551.96, 13,178.40 and 6,013.88

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Solution

The fourth proportional to 9,551.96, 13,178.40 and 6,013.88 is: 8,297.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,551.96 : 13,178.40 = 6,013.88 : x
  2. Step 2: Convert to fraction form
    9,551.96/13,178.40 = 6,013.88/x
  3. Step 3: Cross multiply
    9,551.96x = 13,178.40 × 6,013.88
  4. Step 4: Simplify right side
    9,551.96x = 79,253,316.19
  5. Step 5: Solve for x
    x = 79,253,316.19/9,551.96
  6. Step 6: Final answer
    x = 8,297.07

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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.