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Finding the Fourth Proportional to 7,098.69, 9,783.93 and 5,327.22

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Solution

The fourth proportional to 7,098.69, 9,783.93 and 5,327.22 is: 7,342.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.69 : 9,783.93 = 5,327.22 : x
  2. Step 2: Convert to fraction form
    7,098.69/9,783.93 = 5,327.22/x
  3. Step 3: Cross multiply
    7,098.69x = 9,783.93 × 5,327.22
  4. Step 4: Simplify right side
    7,098.69x = 52,121,147.57
  5. Step 5: Solve for x
    x = 52,121,147.57/7,098.69
  6. Step 6: Final answer
    x = 7,342.36

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Half scale
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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.