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Finding the Fourth Proportional to 9,841, 13,580.83 and 6,066.66

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Solution

The fourth proportional to 9,841, 13,580.83 and 6,066.66 is: 8,372.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841 : 13,580.83 = 6,066.66 : x
  2. Step 2: Convert to fraction form
    9,841/13,580.83 = 6,066.66/x
  3. Step 3: Cross multiply
    9,841x = 13,580.83 × 6,066.66
  4. Step 4: Simplify right side
    9,841x = 82,390,278.13
  5. Step 5: Solve for x
    x = 82,390,278.13/9,841
  6. Step 6: Final answer
    x = 8,372.14

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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.