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Finding the Fourth Proportional to 9,356.50, 12,911.97 and 5,164.75

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Solution

The fourth proportional to 9,356.50, 12,911.97 and 5,164.75 is: 7,127.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.50 : 12,911.97 = 5,164.75 : x
  2. Step 2: Convert to fraction form
    9,356.50/12,911.97 = 5,164.75/x
  3. Step 3: Cross multiply
    9,356.50x = 12,911.97 × 5,164.75
  4. Step 4: Simplify right side
    9,356.50x = 66,687,097.06
  5. Step 5: Solve for x
    x = 66,687,097.06/9,356.50
  6. Step 6: Final answer
    x = 7,127.36

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Double scale
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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.