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Finding the Fourth Proportional to 7,774.75, 11,664.98 and 4,855.51

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Solution

The fourth proportional to 7,774.75, 11,664.98 and 4,855.51 is: 7,285.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.75 : 11,664.98 = 4,855.51 : x
  2. Step 2: Convert to fraction form
    7,774.75/11,664.98 = 4,855.51/x
  3. Step 3: Cross multiply
    7,774.75x = 11,664.98 × 4,855.51
  4. Step 4: Simplify right side
    7,774.75x = 56,639,427.04
  5. Step 5: Solve for x
    x = 56,639,427.04/7,774.75
  6. Step 6: Final answer
    x = 7,285.05

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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.