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Finding the Fourth Proportional to 9,457.56, 14,157.18 and 7,591.32

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Solution

The fourth proportional to 9,457.56, 14,157.18 and 7,591.32 is: 11,363.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,457.56 : 14,157.18 = 7,591.32 : x
  2. Step 2: Convert to fraction form
    9,457.56/14,157.18 = 7,591.32/x
  3. Step 3: Cross multiply
    9,457.56x = 14,157.18 × 7,591.32
  4. Step 4: Simplify right side
    9,457.56x = 107,471,683.68
  5. Step 5: Solve for x
    x = 107,471,683.68/9,457.56
  6. Step 6: Final answer
    x = 11,363.57

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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.