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Finding the Fourth Proportional to 7,808.60, 11,699.94 and 5,495.24

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Solution

The fourth proportional to 7,808.60, 11,699.94 and 5,495.24 is: 8,233.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.60 : 11,699.94 = 5,495.24 : x
  2. Step 2: Convert to fraction form
    7,808.60/11,699.94 = 5,495.24/x
  3. Step 3: Cross multiply
    7,808.60x = 11,699.94 × 5,495.24
  4. Step 4: Simplify right side
    7,808.60x = 64,293,978.29
  5. Step 5: Solve for x
    x = 64,293,978.29/7,808.60
  6. Step 6: Final answer
    x = 8,233.74

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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.