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Finding the Fourth Proportional to 37,743.58, 56,615.16 and 9,663.58

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Solution

The fourth proportional to 37,743.58, 56,615.16 and 9,663.58 is: 14,495.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,743.58 : 56,615.16 = 9,663.58 : x
  2. Step 2: Convert to fraction form
    37,743.58/56,615.16 = 9,663.58/x
  3. Step 3: Cross multiply
    37,743.58x = 56,615.16 × 9,663.58
  4. Step 4: Simplify right side
    37,743.58x = 547,104,844.80
  5. Step 5: Solve for x
    x = 547,104,844.80/37,743.58
  6. Step 6: Final answer
    x = 14,495.31

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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.