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Finding the Fourth Proportional to 11,623.68, 17,435.52 and 7,735.68

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Solution

The fourth proportional to 11,623.68, 17,435.52 and 7,735.68 is: 11,603.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,623.68 : 17,435.52 = 7,735.68 : x
  2. Step 2: Convert to fraction form
    11,623.68/17,435.52 = 7,735.68/x
  3. Step 3: Cross multiply
    11,623.68x = 17,435.52 × 7,735.68
  4. Step 4: Simplify right side
    11,623.68x = 134,875,603.35
  5. Step 5: Solve for x
    x = 134,875,603.35/11,623.68
  6. Step 6: Final answer
    x = 11,603.52

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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.