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Finding the Fourth Proportional to 7,208.48, 9,948.47 and 4,226.82

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Solution

The fourth proportional to 7,208.48, 9,948.47 and 4,226.82 is: 5,833.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,208.48 : 9,948.47 = 4,226.82 : x
  2. Step 2: Convert to fraction form
    7,208.48/9,948.47 = 4,226.82/x
  3. Step 3: Cross multiply
    7,208.48x = 9,948.47 × 4,226.82
  4. Step 4: Simplify right side
    7,208.48x = 42,050,391.97
  5. Step 5: Solve for x
    x = 42,050,391.97/7,208.48
  6. Step 6: Final answer
    x = 5,833.46

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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.