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Finding the Fourth Proportional to 6,320, 8,722.62 and 4,088.42

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Solution

The fourth proportional to 6,320, 8,722.62 and 4,088.42 is: 5,642.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,320 : 8,722.62 = 4,088.42 : x
  2. Step 2: Convert to fraction form
    6,320/8,722.62 = 4,088.42/x
  3. Step 3: Cross multiply
    6,320x = 8,722.62 × 4,088.42
  4. Step 4: Simplify right side
    6,320x = 35,661,734.06
  5. Step 5: Solve for x
    x = 35,661,734.06/6,320
  6. Step 6: Final answer
    x = 5,642.68

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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.