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Finding the Fourth Proportional to 9,202.95, 12,695.54 and 5,664.87

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Solution

The fourth proportional to 9,202.95, 12,695.54 and 5,664.87 is: 7,814.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.95 : 12,695.54 = 5,664.87 : x
  2. Step 2: Convert to fraction form
    9,202.95/12,695.54 = 5,664.87/x
  3. Step 3: Cross multiply
    9,202.95x = 12,695.54 × 5,664.87
  4. Step 4: Simplify right side
    9,202.95x = 71,918,555.36
  5. Step 5: Solve for x
    x = 71,918,555.36/9,202.95
  6. Step 6: Final answer
    x = 7,814.73

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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.