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Finding the Fourth Proportional to 9,654.84, 13,324.23 and 7,292.88

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Solution

The fourth proportional to 9,654.84, 13,324.23 and 7,292.88 is: 10,064.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654.84 : 13,324.23 = 7,292.88 : x
  2. Step 2: Convert to fraction form
    9,654.84/13,324.23 = 7,292.88/x
  3. Step 3: Cross multiply
    9,654.84x = 13,324.23 × 7,292.88
  4. Step 4: Simplify right side
    9,654.84x = 97,172,010.48
  5. Step 5: Solve for x
    x = 97,172,010.48/9,654.84
  6. Step 6: Final answer
    x = 10,064.59

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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.