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Finding the Fourth Proportional to 12,765.64, 17,616.27 and 7,100.37

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Solution

The fourth proportional to 12,765.64, 17,616.27 and 7,100.37 is: 9,798.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,765.64 : 17,616.27 = 7,100.37 : x
  2. Step 2: Convert to fraction form
    12,765.64/17,616.27 = 7,100.37/x
  3. Step 3: Cross multiply
    12,765.64x = 17,616.27 × 7,100.37
  4. Step 4: Simplify right side
    12,765.64x = 125,082,035.02
  5. Step 5: Solve for x
    x = 125,082,035.02/12,765.64
  6. Step 6: Final answer
    x = 9,798.34

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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.