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Finding the Fourth Proportional to 6,308.61, 9,459.14 and 5,384.49

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Solution

The fourth proportional to 6,308.61, 9,459.14 and 5,384.49 is: 8,073.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.61 : 9,459.14 = 5,384.49 : x
  2. Step 2: Convert to fraction form
    6,308.61/9,459.14 = 5,384.49/x
  3. Step 3: Cross multiply
    6,308.61x = 9,459.14 × 5,384.49
  4. Step 4: Simplify right side
    6,308.61x = 50,932,617.82
  5. Step 5: Solve for x
    x = 50,932,617.82/6,308.61
  6. Step 6: Final answer
    x = 8,073.51

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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.