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Finding the Fourth Proportional to 7,033.50, 9,706.23 and 4,549.50

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Solution

The fourth proportional to 7,033.50, 9,706.23 and 4,549.50 is: 6,278.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,033.50 : 9,706.23 = 4,549.50 : x
  2. Step 2: Convert to fraction form
    7,033.50/9,706.23 = 4,549.50/x
  3. Step 3: Cross multiply
    7,033.50x = 9,706.23 × 4,549.50
  4. Step 4: Simplify right side
    7,033.50x = 44,158,493.39
  5. Step 5: Solve for x
    x = 44,158,493.39/7,033.50
  6. Step 6: Final answer
    x = 6,278.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.