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Finding the Fourth Proportional to 9,457.60, 14,200.80 and 7,268.80

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Solution

The fourth proportional to 9,457.60, 14,200.80 and 7,268.80 is: 10,914.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,457.60 : 14,200.80 = 7,268.80 : x
  2. Step 2: Convert to fraction form
    9,457.60/14,200.80 = 7,268.80/x
  3. Step 3: Cross multiply
    9,457.60x = 14,200.80 × 7,268.80
  4. Step 4: Simplify right side
    9,457.60x = 103,222,775.04
  5. Step 5: Solve for x
    x = 103,222,775.04/9,457.60
  6. Step 6: Final answer
    x = 10,914.27

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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.