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Finding the Fourth Proportional to 7,960.44, 10,982.25 and 4,602.63

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Solution

The fourth proportional to 7,960.44, 10,982.25 and 4,602.63 is: 6,349.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,960.44 : 10,982.25 = 4,602.63 : x
  2. Step 2: Convert to fraction form
    7,960.44/10,982.25 = 4,602.63/x
  3. Step 3: Cross multiply
    7,960.44x = 10,982.25 × 4,602.63
  4. Step 4: Simplify right side
    7,960.44x = 50,547,233.32
  5. Step 5: Solve for x
    x = 50,547,233.32/7,960.44
  6. Step 6: Final answer
    x = 6,349.80

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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.