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Finding the Fourth Proportional to 9,506.70, 13,115.79 and 5,526.90

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Solution

The fourth proportional to 9,506.70, 13,115.79 and 5,526.90 is: 7,625.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.70 : 13,115.79 = 5,526.90 : x
  2. Step 2: Convert to fraction form
    9,506.70/13,115.79 = 5,526.90/x
  3. Step 3: Cross multiply
    9,506.70x = 13,115.79 × 5,526.90
  4. Step 4: Simplify right side
    9,506.70x = 72,489,659.75
  5. Step 5: Solve for x
    x = 72,489,659.75/9,506.70
  6. Step 6: Final answer
    x = 7,625.11

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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.