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Finding the Fourth Proportional to 6,924.42, 9,544.41 and 4,824.90

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Solution

The fourth proportional to 6,924.42, 9,544.41 and 4,824.90 is: 6,650.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,924.42 : 9,544.41 = 4,824.90 : x
  2. Step 2: Convert to fraction form
    6,924.42/9,544.41 = 4,824.90/x
  3. Step 3: Cross multiply
    6,924.42x = 9,544.41 × 4,824.90
  4. Step 4: Simplify right side
    6,924.42x = 46,050,823.81
  5. Step 5: Solve for x
    x = 46,050,823.81/6,924.42
  6. Step 6: Final answer
    x = 6,650.50

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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.