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Finding the Fourth Proportional to 14,750.76, 22,074.15 and 9,206.70

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Solution

The fourth proportional to 14,750.76, 22,074.15 and 9,206.70 is: 13,777.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,750.76 : 22,074.15 = 9,206.70 : x
  2. Step 2: Convert to fraction form
    14,750.76/22,074.15 = 9,206.70/x
  3. Step 3: Cross multiply
    14,750.76x = 22,074.15 × 9,206.70
  4. Step 4: Simplify right side
    14,750.76x = 203,230,076.81
  5. Step 5: Solve for x
    x = 203,230,076.81/14,750.76
  6. Step 6: Final answer
    x = 13,777.60

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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.