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Finding the Fourth Proportional to 37,784, 56,675.88 and 9,704

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Solution

The fourth proportional to 37,784, 56,675.88 and 9,704 is: 14,555.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,784 : 56,675.88 = 9,704 : x
  2. Step 2: Convert to fraction form
    37,784/56,675.88 = 9,704/x
  3. Step 3: Cross multiply
    37,784x = 56,675.88 × 9,704
  4. Step 4: Simplify right side
    37,784x = 549,982,739.52
  5. Step 5: Solve for x
    x = 549,982,739.52/37,784
  6. Step 6: Final answer
    x = 14,555.97

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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.