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Finding the Fourth Proportional to 7,853.49, 11,796.44 and 7,591.05

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Solution

The fourth proportional to 7,853.49, 11,796.44 and 7,591.05 is: 11,402.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.49 : 11,796.44 = 7,591.05 : x
  2. Step 2: Convert to fraction form
    7,853.49/11,796.44 = 7,591.05/x
  3. Step 3: Cross multiply
    7,853.49x = 11,796.44 × 7,591.05
  4. Step 4: Simplify right side
    7,853.49x = 89,547,327.91
  5. Step 5: Solve for x
    x = 89,547,327.91/7,853.49
  6. Step 6: Final answer
    x = 11,402.23

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.