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Finding the Fourth Proportional to 7,773.94, 10,727.64 and 4,416.29

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Solution

The fourth proportional to 7,773.94, 10,727.64 and 4,416.29 is: 6,094.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.94 : 10,727.64 = 4,416.29 : x
  2. Step 2: Convert to fraction form
    7,773.94/10,727.64 = 4,416.29/x
  3. Step 3: Cross multiply
    7,773.94x = 10,727.64 × 4,416.29
  4. Step 4: Simplify right side
    7,773.94x = 47,376,355.85
  5. Step 5: Solve for x
    x = 47,376,355.85/7,773.94
  6. Step 6: Final answer
    x = 6,094.25

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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.