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Finding the Fourth Proportional to 6,470.98, 9,684.16 and 3,970.51

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Solution

The fourth proportional to 6,470.98, 9,684.16 and 3,970.51 is: 5,942.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.98 : 9,684.16 = 3,970.51 : x
  2. Step 2: Convert to fraction form
    6,470.98/9,684.16 = 3,970.51/x
  3. Step 3: Cross multiply
    6,470.98x = 9,684.16 × 3,970.51
  4. Step 4: Simplify right side
    6,470.98x = 38,451,054.12
  5. Step 5: Solve for x
    x = 38,451,054.12/6,470.98
  6. Step 6: Final answer
    x = 5,942.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.