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Finding the Fourth Proportional to 9,850.08, 13,602.92 and 8,502.76

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Solution

The fourth proportional to 9,850.08, 13,602.92 and 8,502.76 is: 11,742.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.08 : 13,602.92 = 8,502.76 : x
  2. Step 2: Convert to fraction form
    9,850.08/13,602.92 = 8,502.76/x
  3. Step 3: Cross multiply
    9,850.08x = 13,602.92 × 8,502.76
  4. Step 4: Simplify right side
    9,850.08x = 115,662,364.06
  5. Step 5: Solve for x
    x = 115,662,364.06/9,850.08
  6. Step 6: Final answer
    x = 11,742.28

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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.