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Finding the Fourth Proportional to 4,714.92, 7,015.09 and 4,698.78

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Solution

The fourth proportional to 4,714.92, 7,015.09 and 4,698.78 is: 6,991.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.92 : 7,015.09 = 4,698.78 : x
  2. Step 2: Convert to fraction form
    4,714.92/7,015.09 = 4,698.78/x
  3. Step 3: Cross multiply
    4,714.92x = 7,015.09 × 4,698.78
  4. Step 4: Simplify right side
    4,714.92x = 32,962,364.59
  5. Step 5: Solve for x
    x = 32,962,364.59/4,714.92
  6. Step 6: Final answer
    x = 6,991.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.