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Finding the Fourth Proportional to 37,470.60, 56,205.90 and 9,768.60

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Solution

The fourth proportional to 37,470.60, 56,205.90 and 9,768.60 is: 14,652.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,470.60 : 56,205.90 = 9,768.60 : x
  2. Step 2: Convert to fraction form
    37,470.60/56,205.90 = 9,768.60/x
  3. Step 3: Cross multiply
    37,470.60x = 56,205.90 × 9,768.60
  4. Step 4: Simplify right side
    37,470.60x = 549,052,954.74
  5. Step 5: Solve for x
    x = 549,052,954.74/37,470.60
  6. Step 6: Final answer
    x = 14,652.90

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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.