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Finding the Fourth Proportional to 7,209.54, 9,948.57 and 4,066.50

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Solution

The fourth proportional to 7,209.54, 9,948.57 and 4,066.50 is: 5,611.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.54 : 9,948.57 = 4,066.50 : x
  2. Step 2: Convert to fraction form
    7,209.54/9,948.57 = 4,066.50/x
  3. Step 3: Cross multiply
    7,209.54x = 9,948.57 × 4,066.50
  4. Step 4: Simplify right side
    7,209.54x = 40,455,859.91
  5. Step 5: Solve for x
    x = 40,455,859.91/7,209.54
  6. Step 6: Final answer
    x = 5,611.43

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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.