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Finding the Fourth Proportional to 30,594.86, 45,883.94 and 8,402.97

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Solution

The fourth proportional to 30,594.86, 45,883.94 and 8,402.97 is: 12,602.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,594.86 : 45,883.94 = 8,402.97 : x
  2. Step 2: Convert to fraction form
    30,594.86/45,883.94 = 8,402.97/x
  3. Step 3: Cross multiply
    30,594.86x = 45,883.94 × 8,402.97
  4. Step 4: Simplify right side
    30,594.86x = 385,561,185.11
  5. Step 5: Solve for x
    x = 385,561,185.11/30,594.86
  6. Step 6: Final answer
    x = 12,602.15

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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.