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Finding the Fourth Proportional to 9,684.88, 14,513.88 and 5,058.64

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Solution

The fourth proportional to 9,684.88, 14,513.88 and 5,058.64 is: 7,580.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.88 : 14,513.88 = 5,058.64 : x
  2. Step 2: Convert to fraction form
    9,684.88/14,513.88 = 5,058.64/x
  3. Step 3: Cross multiply
    9,684.88x = 14,513.88 × 5,058.64
  4. Step 4: Simplify right side
    9,684.88x = 73,420,493.92
  5. Step 5: Solve for x
    x = 73,420,493.92/9,684.88
  6. Step 6: Final answer
    x = 7,580.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.