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Finding the Fourth Proportional to 37,700.10, 56,546.10 and 9,998.10

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Solution

The fourth proportional to 37,700.10, 56,546.10 and 9,998.10 is: 14,996.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,700.10 : 56,546.10 = 9,998.10 : x
  2. Step 2: Convert to fraction form
    37,700.10/56,546.10 = 9,998.10/x
  3. Step 3: Cross multiply
    37,700.10x = 56,546.10 × 9,998.10
  4. Step 4: Simplify right side
    37,700.10x = 565,353,562.41
  5. Step 5: Solve for x
    x = 565,353,562.41/37,700.10
  6. Step 6: Final answer
    x = 14,996.08

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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.