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Finding the Fourth Proportional to 6,941.40, 9,582.28 and 4,824.08

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Solution

The fourth proportional to 6,941.40, 9,582.28 and 4,824.08 is: 6,659.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,941.40 : 9,582.28 = 4,824.08 : x
  2. Step 2: Convert to fraction form
    6,941.40/9,582.28 = 4,824.08/x
  3. Step 3: Cross multiply
    6,941.40x = 9,582.28 × 4,824.08
  4. Step 4: Simplify right side
    6,941.40x = 46,225,685.30
  5. Step 5: Solve for x
    x = 46,225,685.30/6,941.40
  6. Step 6: Final answer
    x = 6,659.42

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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.