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Finding the Fourth Proportional to 7,208.68, 9,948.05 and 4,184.47

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Solution

The fourth proportional to 7,208.68, 9,948.05 and 4,184.47 is: 5,774.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,208.68 : 9,948.05 = 4,184.47 : x
  2. Step 2: Convert to fraction form
    7,208.68/9,948.05 = 4,184.47/x
  3. Step 3: Cross multiply
    7,208.68x = 9,948.05 × 4,184.47
  4. Step 4: Simplify right side
    7,208.68x = 41,627,316.78
  5. Step 5: Solve for x
    x = 41,627,316.78/7,208.68
  6. Step 6: Final answer
    x = 5,774.61

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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.