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Finding the Fourth Proportional to 9,966.63, 13,654.35 and 9,592.95

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Solution

The fourth proportional to 9,966.63, 13,654.35 and 9,592.95 is: 13,142.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.63 : 13,654.35 = 9,592.95 : x
  2. Step 2: Convert to fraction form
    9,966.63/13,654.35 = 9,592.95/x
  3. Step 3: Cross multiply
    9,966.63x = 13,654.35 × 9,592.95
  4. Step 4: Simplify right side
    9,966.63x = 130,985,496.83
  5. Step 5: Solve for x
    x = 130,985,496.83/9,966.63
  6. Step 6: Final answer
    x = 13,142.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.