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Finding the Fourth Proportional to 37,663.65, 56,495.79 and 9,583.74

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Solution

The fourth proportional to 37,663.65, 56,495.79 and 9,583.74 is: 14,375.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,663.65 : 56,495.79 = 9,583.74 : x
  2. Step 2: Convert to fraction form
    37,663.65/56,495.79 = 9,583.74/x
  3. Step 3: Cross multiply
    37,663.65x = 56,495.79 × 9,583.74
  4. Step 4: Simplify right side
    37,663.65x = 541,440,962.45
  5. Step 5: Solve for x
    x = 541,440,962.45/37,663.65
  6. Step 6: Final answer
    x = 14,375.69

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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.