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Finding the Fourth Proportional to 9,416.40, 12,989.07 and 6,058.14

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Solution

The fourth proportional to 9,416.40, 12,989.07 and 6,058.14 is: 8,356.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.40 : 12,989.07 = 6,058.14 : x
  2. Step 2: Convert to fraction form
    9,416.40/12,989.07 = 6,058.14/x
  3. Step 3: Cross multiply
    9,416.40x = 12,989.07 × 6,058.14
  4. Step 4: Simplify right side
    9,416.40x = 78,689,604.53
  5. Step 5: Solve for x
    x = 78,689,604.53/9,416.40
  6. Step 6: Final answer
    x = 8,356.65

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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.