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Finding the Fourth Proportional to 11,565.84, 17,346.92 and 3,774.64

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Solution

The fourth proportional to 11,565.84, 17,346.92 and 3,774.64 is: 5,661.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.84 : 17,346.92 = 3,774.64 : x
  2. Step 2: Convert to fraction form
    11,565.84/17,346.92 = 3,774.64/x
  3. Step 3: Cross multiply
    11,565.84x = 17,346.92 × 3,774.64
  4. Step 4: Simplify right side
    11,565.84x = 65,478,378.11
  5. Step 5: Solve for x
    x = 65,478,378.11/11,565.84
  6. Step 6: Final answer
    x = 5,661.36

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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.