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Finding the Fourth Proportional to 30,971.21, 46,456.84 and 7,597.64

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Solution

The fourth proportional to 30,971.21, 46,456.84 and 7,597.64 is: 11,396.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,971.21 : 46,456.84 = 7,597.64 : x
  2. Step 2: Convert to fraction form
    30,971.21/46,456.84 = 7,597.64/x
  3. Step 3: Cross multiply
    30,971.21x = 46,456.84 × 7,597.64
  4. Step 4: Simplify right side
    30,971.21x = 352,962,345.86
  5. Step 5: Solve for x
    x = 352,962,345.86/30,971.21
  6. Step 6: Final answer
    x = 11,396.47

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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.