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Finding the Fourth Proportional to 4,602.36, 6,902.24 and 1,314.57

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Solution

The fourth proportional to 4,602.36, 6,902.24 and 1,314.57 is: 1,971.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.36 : 6,902.24 = 1,314.57 : x
  2. Step 2: Convert to fraction form
    4,602.36/6,902.24 = 1,314.57/x
  3. Step 3: Cross multiply
    4,602.36x = 6,902.24 × 1,314.57
  4. Step 4: Simplify right side
    4,602.36x = 9,073,471.06
  5. Step 5: Solve for x
    x = 9,073,471.06/4,602.36
  6. Step 6: Final answer
    x = 1,971.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.