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Finding the Fourth Proportional to 5,169.72, 7,717.06 and 4,784.24

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Solution

The fourth proportional to 5,169.72, 7,717.06 and 4,784.24 is: 7,141.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169.72 : 7,717.06 = 4,784.24 : x
  2. Step 2: Convert to fraction form
    5,169.72/7,717.06 = 4,784.24/x
  3. Step 3: Cross multiply
    5,169.72x = 7,717.06 × 4,784.24
  4. Step 4: Simplify right side
    5,169.72x = 36,920,267.13
  5. Step 5: Solve for x
    x = 36,920,267.13/5,169.72
  6. Step 6: Final answer
    x = 7,141.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.