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Finding the Fourth Proportional to 6,483.28, 9,726.16 and 4,490.38

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Solution

The fourth proportional to 6,483.28, 9,726.16 and 4,490.38 is: 6,736.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.28 : 9,726.16 = 4,490.38 : x
  2. Step 2: Convert to fraction form
    6,483.28/9,726.16 = 4,490.38/x
  3. Step 3: Cross multiply
    6,483.28x = 9,726.16 × 4,490.38
  4. Step 4: Simplify right side
    6,483.28x = 43,674,154.34
  5. Step 5: Solve for x
    x = 43,674,154.34/6,483.28
  6. Step 6: Final answer
    x = 6,736.43

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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.