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Finding the Fourth Proportional to 6,365.32, 9,534.14 and 3,892.66

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Solution

The fourth proportional to 6,365.32, 9,534.14 and 3,892.66 is: 5,830.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.32 : 9,534.14 = 3,892.66 : x
  2. Step 2: Convert to fraction form
    6,365.32/9,534.14 = 3,892.66/x
  3. Step 3: Cross multiply
    6,365.32x = 9,534.14 × 3,892.66
  4. Step 4: Simplify right side
    6,365.32x = 37,113,136.71
  5. Step 5: Solve for x
    x = 37,113,136.71/6,365.32
  6. Step 6: Final answer
    x = 5,830.52

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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.