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Finding the Fourth Proportional to 7,662.09, 10,573.62 and 4,259.02

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Solution

The fourth proportional to 7,662.09, 10,573.62 and 4,259.02 is: 5,877.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.09 : 10,573.62 = 4,259.02 : x
  2. Step 2: Convert to fraction form
    7,662.09/10,573.62 = 4,259.02/x
  3. Step 3: Cross multiply
    7,662.09x = 10,573.62 × 4,259.02
  4. Step 4: Simplify right side
    7,662.09x = 45,033,190.21
  5. Step 5: Solve for x
    x = 45,033,190.21/7,662.09
  6. Step 6: Final answer
    x = 5,877.40

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Half 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.