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Finding the Fourth Proportional to 5,223.15, 7,834.93 and 1,713.62

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Solution

The fourth proportional to 5,223.15, 7,834.93 and 1,713.62 is: 2,570.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.15 : 7,834.93 = 1,713.62 : x
  2. Step 2: Convert to fraction form
    5,223.15/7,834.93 = 1,713.62/x
  3. Step 3: Cross multiply
    5,223.15x = 7,834.93 × 1,713.62
  4. Step 4: Simplify right side
    5,223.15x = 13,426,108.05
  5. Step 5: Solve for x
    x = 13,426,108.05/5,223.15
  6. Step 6: Final answer
    x = 2,570.50

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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.