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Finding the Fourth Proportional to 7,813.86, 11,708.01 and 7,522.26

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Solution

The fourth proportional to 7,813.86, 11,708.01 and 7,522.26 is: 11,271.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.86 : 11,708.01 = 7,522.26 : x
  2. Step 2: Convert to fraction form
    7,813.86/11,708.01 = 7,522.26/x
  3. Step 3: Cross multiply
    7,813.86x = 11,708.01 × 7,522.26
  4. Step 4: Simplify right side
    7,813.86x = 88,070,695.30
  5. Step 5: Solve for x
    x = 88,070,695.30/7,813.86
  6. Step 6: Final answer
    x = 11,271.09

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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.