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Finding the Fourth Proportional to 11,847.60, 17,752.20 and 7,457.20

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Solution

The fourth proportional to 11,847.60, 17,752.20 and 7,457.20 is: 11,173.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.60 : 17,752.20 = 7,457.20 : x
  2. Step 2: Convert to fraction form
    11,847.60/17,752.20 = 7,457.20/x
  3. Step 3: Cross multiply
    11,847.60x = 17,752.20 × 7,457.20
  4. Step 4: Simplify right side
    11,847.60x = 132,381,705.84
  5. Step 5: Solve for x
    x = 132,381,705.84/11,847.60
  6. Step 6: Final answer
    x = 11,173.72

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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.