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Finding the Fourth Proportional to 7,025.42, 9,695.16 and 3,881.60

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Solution

The fourth proportional to 7,025.42, 9,695.16 and 3,881.60 is: 5,356.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,025.42 : 9,695.16 = 3,881.60 : x
  2. Step 2: Convert to fraction form
    7,025.42/9,695.16 = 3,881.60/x
  3. Step 3: Cross multiply
    7,025.42x = 9,695.16 × 3,881.60
  4. Step 4: Simplify right side
    7,025.42x = 37,632,733.06
  5. Step 5: Solve for x
    x = 37,632,733.06/7,025.42
  6. Step 6: Final answer
    x = 5,356.65

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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.