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Finding the Fourth Proportional to 4,842.84, 6,684.42 and 4,548.81

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Solution

The fourth proportional to 4,842.84, 6,684.42 and 4,548.81 is: 6,278.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.84 : 6,684.42 = 4,548.81 : x
  2. Step 2: Convert to fraction form
    4,842.84/6,684.42 = 4,548.81/x
  3. Step 3: Cross multiply
    4,842.84x = 6,684.42 × 4,548.81
  4. Step 4: Simplify right side
    4,842.84x = 30,406,161.06
  5. Step 5: Solve for x
    x = 30,406,161.06/4,842.84
  6. Step 6: Final answer
    x = 6,278.58

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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.