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Finding the Fourth Proportional to 37,628.16, 56,437.44 and 9,928.32

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Solution

The fourth proportional to 37,628.16, 56,437.44 and 9,928.32 is: 14,891.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,628.16 : 56,437.44 = 9,928.32 : x
  2. Step 2: Convert to fraction form
    37,628.16/56,437.44 = 9,928.32/x
  3. Step 3: Cross multiply
    37,628.16x = 56,437.44 × 9,928.32
  4. Step 4: Simplify right side
    37,628.16x = 560,328,964.30
  5. Step 5: Solve for x
    x = 560,328,964.30/37,628.16
  6. Step 6: Final answer
    x = 14,891.21

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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.