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Finding the Fourth Proportional to 11,754.84, 17,603.10 and 9,815.64

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Solution

The fourth proportional to 11,754.84, 17,603.10 and 9,815.64 is: 14,699.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.84 : 17,603.10 = 9,815.64 : x
  2. Step 2: Convert to fraction form
    11,754.84/17,603.10 = 9,815.64/x
  3. Step 3: Cross multiply
    11,754.84x = 17,603.10 × 9,815.64
  4. Step 4: Simplify right side
    11,754.84x = 172,785,692.48
  5. Step 5: Solve for x
    x = 172,785,692.48/11,754.84
  6. Step 6: Final answer
    x = 14,699.11

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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.