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Finding the Fourth Proportional to 37,666.20, 56,499.06 and 9,964.20

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Solution

The fourth proportional to 37,666.20, 56,499.06 and 9,964.20 is: 14,946.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,666.20 : 56,499.06 = 9,964.20 : x
  2. Step 2: Convert to fraction form
    37,666.20/56,499.06 = 9,964.20/x
  3. Step 3: Cross multiply
    37,666.20x = 56,499.06 × 9,964.20
  4. Step 4: Simplify right side
    37,666.20x = 562,967,933.65
  5. Step 5: Solve for x
    x = 562,967,933.65/37,666.20
  6. Step 6: Final answer
    x = 14,946.24

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Similar ratio
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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.