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Finding the Fourth Proportional to 9,302.16, 14,017.24 and 7,694.88

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Solution

The fourth proportional to 9,302.16, 14,017.24 and 7,694.88 is: 11,595.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.16 : 14,017.24 = 7,694.88 : x
  2. Step 2: Convert to fraction form
    9,302.16/14,017.24 = 7,694.88/x
  3. Step 3: Cross multiply
    9,302.16x = 14,017.24 × 7,694.88
  4. Step 4: Simplify right side
    9,302.16x = 107,860,979.73
  5. Step 5: Solve for x
    x = 107,860,979.73/9,302.16
  6. Step 6: Final answer
    x = 11,595.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.