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Finding the Fourth Proportional to 6,476.81, 9,715.43 and 1,796.87

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Solution

The fourth proportional to 6,476.81, 9,715.43 and 1,796.87 is: 2,695.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.81 : 9,715.43 = 1,796.87 : x
  2. Step 2: Convert to fraction form
    6,476.81/9,715.43 = 1,796.87/x
  3. Step 3: Cross multiply
    6,476.81x = 9,715.43 × 1,796.87
  4. Step 4: Simplify right side
    6,476.81x = 17,457,307.14
  5. Step 5: Solve for x
    x = 17,457,307.14/6,476.81
  6. Step 6: Final answer
    x = 2,695.36

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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.