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Finding the Fourth Proportional to 7,235.24, 9,984.12 and 4,251.20

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Solution

The fourth proportional to 7,235.24, 9,984.12 and 4,251.20 is: 5,866.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,235.24 : 9,984.12 = 4,251.20 : x
  2. Step 2: Convert to fraction form
    7,235.24/9,984.12 = 4,251.20/x
  3. Step 3: Cross multiply
    7,235.24x = 9,984.12 × 4,251.20
  4. Step 4: Simplify right side
    7,235.24x = 42,444,490.94
  5. Step 5: Solve for x
    x = 42,444,490.94/7,235.24
  6. Step 6: Final answer
    x = 5,866.36

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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.