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Finding the Fourth Proportional to 9,093.75, 12,549.09 and 5,114.76

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Solution

The fourth proportional to 9,093.75, 12,549.09 and 5,114.76 is: 7,058.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,093.75 : 12,549.09 = 5,114.76 : x
  2. Step 2: Convert to fraction form
    9,093.75/12,549.09 = 5,114.76/x
  3. Step 3: Cross multiply
    9,093.75x = 12,549.09 × 5,114.76
  4. Step 4: Simplify right side
    9,093.75x = 64,185,583.57
  5. Step 5: Solve for x
    x = 64,185,583.57/9,093.75
  6. Step 6: Final answer
    x = 7,058.21

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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.