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Finding the Fourth Proportional to 6,478.52, 8,930.79 and 4,584.22

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Solution

The fourth proportional to 6,478.52, 8,930.79 and 4,584.22 is: 6,319.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.52 : 8,930.79 = 4,584.22 : x
  2. Step 2: Convert to fraction form
    6,478.52/8,930.79 = 4,584.22/x
  3. Step 3: Cross multiply
    6,478.52x = 8,930.79 × 4,584.22
  4. Step 4: Simplify right side
    6,478.52x = 40,940,683.81
  5. Step 5: Solve for x
    x = 40,940,683.81/6,478.52
  6. Step 6: Final answer
    x = 6,319.45

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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.