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Finding the Fourth Proportional to 9,459.87, 13,058.64 and 6,736.17

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Solution

The fourth proportional to 9,459.87, 13,058.64 and 6,736.17 is: 9,298.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,459.87 : 13,058.64 = 6,736.17 : x
  2. Step 2: Convert to fraction form
    9,459.87/13,058.64 = 6,736.17/x
  3. Step 3: Cross multiply
    9,459.87x = 13,058.64 × 6,736.17
  4. Step 4: Simplify right side
    9,459.87x = 87,965,219.01
  5. Step 5: Solve for x
    x = 87,965,219.01/9,459.87
  6. Step 6: Final answer
    x = 9,298.78

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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.