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Finding the Fourth Proportional to 37,650.86, 56,475.33 and 9,949.10

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Solution

The fourth proportional to 37,650.86, 56,475.33 and 9,949.10 is: 14,923.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,650.86 : 56,475.33 = 9,949.10 : x
  2. Step 2: Convert to fraction form
    37,650.86/56,475.33 = 9,949.10/x
  3. Step 3: Cross multiply
    37,650.86x = 56,475.33 × 9,949.10
  4. Step 4: Simplify right side
    37,650.86x = 561,878,705.70
  5. Step 5: Solve for x
    x = 561,878,705.70/37,650.86
  6. Step 6: Final answer
    x = 14,923.40

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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.