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Finding the Fourth Proportional to 37,764.42, 56,646.36 and 9,684.42

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Solution

The fourth proportional to 37,764.42, 56,646.36 and 9,684.42 is: 14,526.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,764.42 : 56,646.36 = 9,684.42 : x
  2. Step 2: Convert to fraction form
    37,764.42/56,646.36 = 9,684.42/x
  3. Step 3: Cross multiply
    37,764.42x = 56,646.36 × 9,684.42
  4. Step 4: Simplify right side
    37,764.42x = 548,587,141.71
  5. Step 5: Solve for x
    x = 548,587,141.71/37,764.42
  6. Step 6: Final answer
    x = 14,526.56

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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.