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Finding the Fourth Proportional to 37,476.75, 56,218.37 and 9,774.75

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Solution

The fourth proportional to 37,476.75, 56,218.37 and 9,774.75 is: 14,662.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,476.75 : 56,218.37 = 9,774.75 : x
  2. Step 2: Convert to fraction form
    37,476.75/56,218.37 = 9,774.75/x
  3. Step 3: Cross multiply
    37,476.75x = 56,218.37 × 9,774.75
  4. Step 4: Simplify right side
    37,476.75x = 549,520,463.28
  5. Step 5: Solve for x
    x = 549,520,463.28/37,476.75
  6. Step 6: Final answer
    x = 14,662.97

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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.