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Finding the Fourth Proportional to 9,202.54, 12,695.19 and 5,664.46

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Solution

The fourth proportional to 9,202.54, 12,695.19 and 5,664.46 is: 7,814.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.54 : 12,695.19 = 5,664.46 : x
  2. Step 2: Convert to fraction form
    9,202.54/12,695.19 = 5,664.46/x
  3. Step 3: Cross multiply
    9,202.54x = 12,695.19 × 5,664.46
  4. Step 4: Simplify right side
    9,202.54x = 71,911,395.95
  5. Step 5: Solve for x
    x = 71,911,395.95/9,202.54
  6. Step 6: Final answer
    x = 7,814.30

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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.