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Finding the Fourth Proportional to 7,808.10, 10,773.27 and 4,824.06

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Solution

The fourth proportional to 7,808.10, 10,773.27 and 4,824.06 is: 6,656.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.10 : 10,773.27 = 4,824.06 : x
  2. Step 2: Convert to fraction form
    7,808.10/10,773.27 = 4,824.06/x
  3. Step 3: Cross multiply
    7,808.10x = 10,773.27 × 4,824.06
  4. Step 4: Simplify right side
    7,808.10x = 51,970,900.88
  5. Step 5: Solve for x
    x = 51,970,900.88/7,808.10
  6. Step 6: Final answer
    x = 6,656.02

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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.