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Finding the Fourth Proportional to 6,973.46, 10,459.80 and 5,101.28

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Solution

The fourth proportional to 6,973.46, 10,459.80 and 5,101.28 is: 7,651.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,973.46 : 10,459.80 = 5,101.28 : x
  2. Step 2: Convert to fraction form
    6,973.46/10,459.80 = 5,101.28/x
  3. Step 3: Cross multiply
    6,973.46x = 10,459.80 × 5,101.28
  4. Step 4: Simplify right side
    6,973.46x = 53,358,368.54
  5. Step 5: Solve for x
    x = 53,358,368.54/6,973.46
  6. Step 6: Final answer
    x = 7,651.63

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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.