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Finding the Fourth Proportional to 4,774.72, 7,164.92 and 2,312.08

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Solution

The fourth proportional to 4,774.72, 7,164.92 and 2,312.08 is: 3,469.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.72 : 7,164.92 = 2,312.08 : x
  2. Step 2: Convert to fraction form
    4,774.72/7,164.92 = 2,312.08/x
  3. Step 3: Cross multiply
    4,774.72x = 7,164.92 × 2,312.08
  4. Step 4: Simplify right side
    4,774.72x = 16,565,868.23
  5. Step 5: Solve for x
    x = 16,565,868.23/4,774.72
  6. Step 6: Final answer
    x = 3,469.50

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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.