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Finding the Fourth Proportional to 7,194.80, 9,917.16 and 7,097.60

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Solution

The fourth proportional to 7,194.80, 9,917.16 and 7,097.60 is: 9,783.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,194.80 : 9,917.16 = 7,097.60 : x
  2. Step 2: Convert to fraction form
    7,194.80/9,917.16 = 7,097.60/x
  3. Step 3: Cross multiply
    7,194.80x = 9,917.16 × 7,097.60
  4. Step 4: Simplify right side
    7,194.80x = 70,388,034.82
  5. Step 5: Solve for x
    x = 70,388,034.82/7,194.80
  6. Step 6: Final answer
    x = 9,783.18

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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.