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Finding the Fourth Proportional to 9,536.94, 13,160.94 and 5,345.18

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Solution

The fourth proportional to 9,536.94, 13,160.94 and 5,345.18 is: 7,376.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,536.94 : 13,160.94 = 5,345.18 : x
  2. Step 2: Convert to fraction form
    9,536.94/13,160.94 = 5,345.18/x
  3. Step 3: Cross multiply
    9,536.94x = 13,160.94 × 5,345.18
  4. Step 4: Simplify right side
    9,536.94x = 70,347,593.27
  5. Step 5: Solve for x
    x = 70,347,593.27/9,536.94
  6. Step 6: Final answer
    x = 7,376.33

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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.