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Finding the Fourth Proportional to 6,332.64, 8,738.46 and 3,970.68

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Solution

The fourth proportional to 6,332.64, 8,738.46 and 3,970.68 is: 5,479.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,332.64 : 8,738.46 = 3,970.68 : x
  2. Step 2: Convert to fraction form
    6,332.64/8,738.46 = 3,970.68/x
  3. Step 3: Cross multiply
    6,332.64x = 8,738.46 × 3,970.68
  4. Step 4: Simplify right side
    6,332.64x = 34,697,628.35
  5. Step 5: Solve for x
    x = 34,697,628.35/6,332.64
  6. Step 6: Final answer
    x = 5,479.17

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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.