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Finding the Fourth Proportional to 6,144.71, 8,477.66 and 4,805.15

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Solution

The fourth proportional to 6,144.71, 8,477.66 and 4,805.15 is: 6,629.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.71 : 8,477.66 = 4,805.15 : x
  2. Step 2: Convert to fraction form
    6,144.71/8,477.66 = 4,805.15/x
  3. Step 3: Cross multiply
    6,144.71x = 8,477.66 × 4,805.15
  4. Step 4: Simplify right side
    6,144.71x = 40,736,397.57
  5. Step 5: Solve for x
    x = 40,736,397.57/6,144.71
  6. Step 6: Final answer
    x = 6,629.51

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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.