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Finding the Fourth Proportional to 37,743.80, 56,615.54 and 9,663.80

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Solution

The fourth proportional to 37,743.80, 56,615.54 and 9,663.80 is: 14,495.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,743.80 : 56,615.54 = 9,663.80 : x
  2. Step 2: Convert to fraction form
    37,743.80/56,615.54 = 9,663.80/x
  3. Step 3: Cross multiply
    37,743.80x = 56,615.54 × 9,663.80
  4. Step 4: Simplify right side
    37,743.80x = 547,121,255.45
  5. Step 5: Solve for x
    x = 547,121,255.45/37,743.80
  6. Step 6: Final answer
    x = 14,495.66

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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.