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Finding the Fourth Proportional to 6,980.70, 10,470.62 and 2,596.16

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Solution

The fourth proportional to 6,980.70, 10,470.62 and 2,596.16 is: 3,894.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.70 : 10,470.62 = 2,596.16 : x
  2. Step 2: Convert to fraction form
    6,980.70/10,470.62 = 2,596.16/x
  3. Step 3: Cross multiply
    6,980.70x = 10,470.62 × 2,596.16
  4. Step 4: Simplify right side
    6,980.70x = 27,183,404.82
  5. Step 5: Solve for x
    x = 27,183,404.82/6,980.70
  6. Step 6: Final answer
    x = 3,894.08

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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.