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Finding the Fourth Proportional to 7,233.95, 9,984.95 and 4,209.77

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Solution

The fourth proportional to 7,233.95, 9,984.95 and 4,209.77 is: 5,810.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,233.95 : 9,984.95 = 4,209.77 : x
  2. Step 2: Convert to fraction form
    7,233.95/9,984.95 = 4,209.77/x
  3. Step 3: Cross multiply
    7,233.95x = 9,984.95 × 4,209.77
  4. Step 4: Simplify right side
    7,233.95x = 42,034,350.82
  5. Step 5: Solve for x
    x = 42,034,350.82/7,233.95
  6. Step 6: Final answer
    x = 5,810.71

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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.