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Finding the Fourth Proportional to 9,457.70, 13,051.43 and 5,922.86

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Solution

The fourth proportional to 9,457.70, 13,051.43 and 5,922.86 is: 8,173.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,457.70 : 13,051.43 = 5,922.86 : x
  2. Step 2: Convert to fraction form
    9,457.70/13,051.43 = 5,922.86/x
  3. Step 3: Cross multiply
    9,457.70x = 13,051.43 × 5,922.86
  4. Step 4: Simplify right side
    9,457.70x = 77,301,720.03
  5. Step 5: Solve for x
    x = 77,301,720.03/9,457.70
  6. Step 6: Final answer
    x = 8,173.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.