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Finding the Fourth Proportional to 7,774.03, 11,656.76 and 5,311.63

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Solution

The fourth proportional to 7,774.03, 11,656.76 and 5,311.63 is: 7,964.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.03 : 11,656.76 = 5,311.63 : x
  2. Step 2: Convert to fraction form
    7,774.03/11,656.76 = 5,311.63/x
  3. Step 3: Cross multiply
    7,774.03x = 11,656.76 × 5,311.63
  4. Step 4: Simplify right side
    7,774.03x = 61,916,396.12
  5. Step 5: Solve for x
    x = 61,916,396.12/7,774.03
  6. Step 6: Final answer
    x = 7,964.52

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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.