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Finding the Fourth Proportional to 9,290.45, 12,813.78 and 6,058.14

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Solution

The fourth proportional to 9,290.45, 12,813.78 and 6,058.14 is: 8,355.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290.45 : 12,813.78 = 6,058.14 : x
  2. Step 2: Convert to fraction form
    9,290.45/12,813.78 = 6,058.14/x
  3. Step 3: Cross multiply
    9,290.45x = 12,813.78 × 6,058.14
  4. Step 4: Simplify right side
    9,290.45x = 77,627,673.17
  5. Step 5: Solve for x
    x = 77,627,673.17/9,290.45
  6. Step 6: Final answer
    x = 8,355.64

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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.