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Finding the Fourth Proportional to 9,684.64, 14,540.48 and 6,418.72

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Solution

The fourth proportional to 9,684.64, 14,540.48 and 6,418.72 is: 9,637.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.64 : 14,540.48 = 6,418.72 : x
  2. Step 2: Convert to fraction form
    9,684.64/14,540.48 = 6,418.72/x
  3. Step 3: Cross multiply
    9,684.64x = 14,540.48 × 6,418.72
  4. Step 4: Simplify right side
    9,684.64x = 93,331,269.79
  5. Step 5: Solve for x
    x = 93,331,269.79/9,684.64
  6. Step 6: Final answer
    x = 9,637.04

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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.