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Finding the Fourth Proportional to 37,486.12, 56,228.06 and 9,784.12

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Solution

The fourth proportional to 37,486.12, 56,228.06 and 9,784.12 is: 14,675.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,486.12 : 56,228.06 = 9,784.12 : x
  2. Step 2: Convert to fraction form
    37,486.12/56,228.06 = 9,784.12/x
  3. Step 3: Cross multiply
    37,486.12x = 56,228.06 × 9,784.12
  4. Step 4: Simplify right side
    37,486.12x = 550,142,086.41
  5. Step 5: Solve for x
    x = 550,142,086.41/37,486.12
  6. Step 6: Final answer
    x = 14,675.89

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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.